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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 : In the ΔABC , AB = 24 cm , BC = 10 cm and AC = 26 cm , then ΔABC is a right angle triangle.
Reason : If in two triangles, their corresponding angles are equal, then the triangles are similar.
- 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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Direction: In the following questions, A statement of Assertion (A) i...
We have, AB2 + BC2 = (24)2 + (10)2
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= 576 + 100 = 676 = 2
AB2 + BC2 = AC2
ABC is a right angled triangle.
Also, two triangle are similar if their corresponding angles are equal.
So, both A and R are correct but R does not explain A.
Most Upvoted Answer
Direction: In the following questions, A statement of Assertion (A) i...
Assertion: In the ΔABC, AB = 24 cm, BC = 10 cm, and AC = 26 cm, then ΔABC is a right-angle triangle.
Reason: If in two triangles, their corresponding angles are equal, then the triangles are similar.
Explanation:
To determine whether ΔABC is a right-angle triangle, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right-angle triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
Let's apply the Pythagorean theorem to ΔABC:
AC^2 = AB^2 + BC^2
Substituting the given values:
26^2 = 24^2 + 10^2
676 = 576 + 100
676 = 676
Since the equation is true, we can conclude that ΔABC is a right-angle triangle.
Now let's analyze the reason given:
If in two triangles, their corresponding angles are equal, then the triangles are similar.
This reason is not applicable in this case because we are not given any information about the angles of ΔABC. The given information only includes the lengths of the sides.
Therefore, the reason given is NOT the correct explanation for the assertion.
Hence, both the assertion and the reason are true, but the reason is NOT the correct explanation of the assertion. The correct answer is option 'B'.
Reason: If in two triangles, their corresponding angles are equal, then the triangles are similar.
Explanation:
To determine whether ΔABC is a right-angle triangle, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right-angle triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
Let's apply the Pythagorean theorem to ΔABC:
AC^2 = AB^2 + BC^2
Substituting the given values:
26^2 = 24^2 + 10^2
676 = 576 + 100
676 = 676
Since the equation is true, we can conclude that ΔABC is a right-angle triangle.
Now let's analyze the reason given:
If in two triangles, their corresponding angles are equal, then the triangles are similar.
This reason is not applicable in this case because we are not given any information about the angles of ΔABC. The given information only includes the lengths of the sides.
Therefore, the reason given is NOT the correct explanation for the assertion.
Hence, both the assertion and the reason are true, but the reason is NOT the correct explanation of the assertion. 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 : In the ΔABC , AB = 24 cm , BC = 10 cm and AC = 26 cm , then ΔABC is a right angle triangle.Reason : If in two triangles, their corresponding angles are equal, then the triangles are similar.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 : In the ΔABC , AB = 24 cm , BC = 10 cm and AC = 26 cm , then ΔABC is a right angle triangle.Reason : If in two triangles, their corresponding angles are equal, then the triangles are similar.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 : In the ΔABC , AB = 24 cm , BC = 10 cm and AC = 26 cm , then ΔABC is a right angle triangle.Reason : If in two triangles, their corresponding angles are equal, then the triangles are similar.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 : In the ΔABC , AB = 24 cm , BC = 10 cm and AC = 26 cm , then ΔABC is a right angle triangle.Reason : If in two triangles, their corresponding angles are equal, then the triangles are similar.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 : In the ΔABC , AB = 24 cm , BC = 10 cm and AC = 26 cm , then ΔABC is a right angle triangle.Reason : If in two triangles, their corresponding angles are equal, then the triangles are similar.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 : In the ΔABC , AB = 24 cm , BC = 10 cm and AC = 26 cm , then ΔABC is a right angle triangle.Reason : If in two triangles, their corresponding angles are equal, then the triangles are similar.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 : In the ΔABC , AB = 24 cm , BC = 10 cm and AC = 26 cm , then ΔABC is a right angle triangle.Reason : If in two triangles, their corresponding angles are equal, then the triangles are similar.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 : In the ΔABC , AB = 24 cm , BC = 10 cm and AC = 26 cm , then ΔABC is a right angle triangle.Reason : If in two triangles, their corresponding angles are equal, then the triangles are similar.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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