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Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): In an equilateral triangle of side 3√3 cm, then the length of the altitude is 4.5 cm.
Reason (R): If a ladder 10 cm long reaches a window 8 cm above the ground, then the distance of the foot of the ladder from the base of the wall is 6 cm.
- a)Both A and R are true and R is the correct explanation of A
- b)Both A and R are true but R is NOT the correct explanation of A
- c)A is true but R is false
- d)A is false and R is True
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Direction: In the following questions, A statement of Assertion (A) is...
In case of assertion
ΔABD, ∠D = 90°
or
or
or, h2 = 81/4
∴ h = 9/2 = 4.5 m
∴ Assertion is correct.
In case of reason: Let BC be the height of the window above the ground and AC be a ladder.
Here, BC = 8 cm and AC = 10 cm
∴ In right angled triangle ABC, AC2 = AB2 + BC2
(By using Pythagoras Theorem)
⇒ (10)2 = AB2 + (8)2
⇒ AB2 = 100 – 64
= 36
⇒ AB = 6 cm.
∴ Reason is correct.
Hence, both assertion and reason are correct but reason is not the correct explanation for assertion.
Most Upvoted Answer
Direction: In the following questions, A statement of Assertion (A) is...
Assertion (A): In an equilateral triangle of side 3√3 cm, the length of the altitude is 4.5 cm.
Reason (R): If a ladder 10 cm long reaches a window 8 m above the ground, then the distance of the foot of the ladder from the base of the wall is 6 m.
To determine the correctness of the Assertion (A) and the Reason (R), let's analyze each statement separately.
Assertion (A): In an equilateral triangle of side 3√3 cm, the length of the altitude is 4.5 cm.
To find the length of the altitude in an equilateral triangle, we can use the formula:
Altitude = (sqrt(3)/2) * side length
Given that the side length of the equilateral triangle is 3√3 cm, we can substitute this value into the formula:
Altitude = (sqrt(3)/2) * 3√3
= (sqrt(3)/2) * 3 * √3
= (sqrt(3)/2) * 3 * √(3^2)
= (sqrt(3)/2) * 3 * 3
= (sqrt(3)/2) * 9
= 9√3/2
Simplifying further, we get:
Altitude = 4.5√3 cm
Therefore, Assertion (A) is true.
Reason (R): If a ladder 10 cm long reaches a window 8 m above the ground, then the distance of the foot of the ladder from the base of the wall is 6 m.
To understand this reason, we can consider a right-angled triangle formed by the ladder, the distance of the foot of the ladder from the base of the wall, and the height of the window.
Let the distance of the foot of the ladder from the base of the wall be x meters. According to the given information, the ladder is 10 m long and reaches a window 8 m above the ground. Using the Pythagorean theorem, we can establish the following relationship:
x^2 + 8^2 = 10^2
x^2 + 64 = 100
x^2 = 100 - 64
x^2 = 36
x = √36
x = 6
Therefore, the distance of the foot of the ladder from the base of the wall is 6 m.
After analyzing both the Assertion (A) and the Reason (R), we can conclude that both A and R are true, and R is the correct explanation of A. Hence, the correct answer is option B.
Reason (R): If a ladder 10 cm long reaches a window 8 m above the ground, then the distance of the foot of the ladder from the base of the wall is 6 m.
To determine the correctness of the Assertion (A) and the Reason (R), let's analyze each statement separately.
Assertion (A): In an equilateral triangle of side 3√3 cm, the length of the altitude is 4.5 cm.
To find the length of the altitude in an equilateral triangle, we can use the formula:
Altitude = (sqrt(3)/2) * side length
Given that the side length of the equilateral triangle is 3√3 cm, we can substitute this value into the formula:
Altitude = (sqrt(3)/2) * 3√3
= (sqrt(3)/2) * 3 * √3
= (sqrt(3)/2) * 3 * √(3^2)
= (sqrt(3)/2) * 3 * 3
= (sqrt(3)/2) * 9
= 9√3/2
Simplifying further, we get:
Altitude = 4.5√3 cm
Therefore, Assertion (A) is true.
Reason (R): If a ladder 10 cm long reaches a window 8 m above the ground, then the distance of the foot of the ladder from the base of the wall is 6 m.
To understand this reason, we can consider a right-angled triangle formed by the ladder, the distance of the foot of the ladder from the base of the wall, and the height of the window.
Let the distance of the foot of the ladder from the base of the wall be x meters. According to the given information, the ladder is 10 m long and reaches a window 8 m above the ground. Using the Pythagorean theorem, we can establish the following relationship:
x^2 + 8^2 = 10^2
x^2 + 64 = 100
x^2 = 100 - 64
x^2 = 36
x = √36
x = 6
Therefore, the distance of the foot of the ladder from the base of the wall is 6 m.
After analyzing both the Assertion (A) and the Reason (R), we can conclude that both A and R are true, and R is the correct explanation of A. Hence, the correct answer is option B.
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Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): In an equilateral triangle of side 3√3 cm, then the length of the altitude is 4.5 cm.Reason (R): If a ladder 10 cm long reaches a window 8 cm above the ground, then the distance of the foot of the ladder from the base of the wall is 6 cm.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer?
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Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): In an equilateral triangle of side 3√3 cm, then the length of the altitude is 4.5 cm.Reason (R): If a ladder 10 cm long reaches a window 8 cm above the ground, then the distance of the foot of the ladder from the base of the wall is 6 cm.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): In an equilateral triangle of side 3√3 cm, then the length of the altitude is 4.5 cm.Reason (R): If a ladder 10 cm long reaches a window 8 cm above the ground, then the distance of the foot of the ladder from the base of the wall is 6 cm.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): In an equilateral triangle of side 3√3 cm, then the length of the altitude is 4.5 cm.Reason (R): If a ladder 10 cm long reaches a window 8 cm above the ground, then the distance of the foot of the ladder from the base of the wall is 6 cm.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer?.
Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): In an equilateral triangle of side 3√3 cm, then the length of the altitude is 4.5 cm.Reason (R): If a ladder 10 cm long reaches a window 8 cm above the ground, then the distance of the foot of the ladder from the base of the wall is 6 cm.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): In an equilateral triangle of side 3√3 cm, then the length of the altitude is 4.5 cm.Reason (R): If a ladder 10 cm long reaches a window 8 cm above the ground, then the distance of the foot of the ladder from the base of the wall is 6 cm.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): In an equilateral triangle of side 3√3 cm, then the length of the altitude is 4.5 cm.Reason (R): If a ladder 10 cm long reaches a window 8 cm above the ground, then the distance of the foot of the ladder from the base of the wall is 6 cm.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): In an equilateral triangle of side 3√3 cm, then the length of the altitude is 4.5 cm.Reason (R): If a ladder 10 cm long reaches a window 8 cm above the ground, then the distance of the foot of the ladder from the base of the wall is 6 cm.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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Here you can find the meaning of Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): In an equilateral triangle of side 3√3 cm, then the length of the altitude is 4.5 cm.Reason (R): If a ladder 10 cm long reaches a window 8 cm above the ground, then the distance of the foot of the ladder from the base of the wall is 6 cm.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): In an equilateral triangle of side 3√3 cm, then the length of the altitude is 4.5 cm.Reason (R): If a ladder 10 cm long reaches a window 8 cm above the ground, then the distance of the foot of the ladder from the base of the wall is 6 cm.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): In an equilateral triangle of side 3√3 cm, then the length of the altitude is 4.5 cm.Reason (R): If a ladder 10 cm long reaches a window 8 cm above the ground, then the distance of the foot of the ladder from the base of the wall is 6 cm.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): In an equilateral triangle of side 3√3 cm, then the length of the altitude is 4.5 cm.Reason (R): If a ladder 10 cm long reaches a window 8 cm above the ground, then the distance of the foot of the ladder from the base of the wall is 6 cm.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): In an equilateral triangle of side 3√3 cm, then the length of the altitude is 4.5 cm.Reason (R): If a ladder 10 cm long reaches a window 8 cm above the ground, then the distance of the foot of the ladder from the base of the wall is 6 cm.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 10 tests.
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