Class 7 Exam > Class 7 Questions > If the two legs of a right angled triangle ar...
Start Learning for Free
If the two legs of a right angled triangle are equal and the square of the hypotenuse is 100 sq units, what is the length of each leg?
- a)10 units
- b)5√2 units
- c)10√2 units
- d)15 units
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the two legs of a right angled triangle are equal and the square of...
We have, by Pythagoras' theorem,x2+x2=100 ⇒ x=√50=
=5√2
=5√2
This question is part of UPSC exam. View all Class 7 courses
Most Upvoted Answer
If the two legs of a right angled triangle are equal and the square of...
The answer is (c) because measure of all angles of a triangle is always 180 degree. Measure of 'q' = 30 degree Here 'p' is right angle so its measure could be definitely = 90 degree X = 90+30 = 120 x = 180-120 x = 60
Community Answer
If the two legs of a right angled triangle are equal and the square of...
5 units
c) 7 units
d) 8 units
Let's call the length of each leg x.
According to the given condition, the square of the hypotenuse is 100 sq units. Therefore, we have:
x^2 + x^2 = 100
2x^2 = 100
Dividing both sides of the equation by 2:
x^2 = 50
Taking the square root of both sides:
x = sqrt(50)
Simplifying the square root:
x = sqrt(25*2)
x = 5*sqrt(2)
Therefore, the length of each leg is 5 units (option b).
c) 7 units
d) 8 units
Let's call the length of each leg x.
According to the given condition, the square of the hypotenuse is 100 sq units. Therefore, we have:
x^2 + x^2 = 100
2x^2 = 100
Dividing both sides of the equation by 2:
x^2 = 50
Taking the square root of both sides:
x = sqrt(50)
Simplifying the square root:
x = sqrt(25*2)
x = 5*sqrt(2)
Therefore, the length of each leg is 5 units (option b).
|
|
Explore Courses for Class 7 exam
|
|
Similar Class 7 Doubts
Top Courses for Class 7View all
If the two legs of a right angled triangle are equal and the square of the hypotenuse is 100 sq units, what is the length of each leg?a)10 unitsb)5√2 units c)10√2 unitsd)15 unitsCorrect answer is option 'B'. Can you explain this answer?
Question Description
If the two legs of a right angled triangle are equal and the square of the hypotenuse is 100 sq units, what is the length of each leg?a)10 unitsb)5√2 units c)10√2 unitsd)15 unitsCorrect answer is option 'B'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about If the two legs of a right angled triangle are equal and the square of the hypotenuse is 100 sq units, what is the length of each leg?a)10 unitsb)5√2 units c)10√2 unitsd)15 unitsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the two legs of a right angled triangle are equal and the square of the hypotenuse is 100 sq units, what is the length of each leg?a)10 unitsb)5√2 units c)10√2 unitsd)15 unitsCorrect answer is option 'B'. Can you explain this answer?.
If the two legs of a right angled triangle are equal and the square of the hypotenuse is 100 sq units, what is the length of each leg?a)10 unitsb)5√2 units c)10√2 unitsd)15 unitsCorrect answer is option 'B'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about If the two legs of a right angled triangle are equal and the square of the hypotenuse is 100 sq units, what is the length of each leg?a)10 unitsb)5√2 units c)10√2 unitsd)15 unitsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the two legs of a right angled triangle are equal and the square of the hypotenuse is 100 sq units, what is the length of each leg?a)10 unitsb)5√2 units c)10√2 unitsd)15 unitsCorrect answer is option 'B'. Can you explain this answer?.
Solutions for If the two legs of a right angled triangle are equal and the square of the hypotenuse is 100 sq units, what is the length of each leg?a)10 unitsb)5√2 units c)10√2 unitsd)15 unitsCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 7.
Download more important topics, notes, lectures and mock test series for Class 7 Exam by signing up for free.
Here you can find the meaning of If the two legs of a right angled triangle are equal and the square of the hypotenuse is 100 sq units, what is the length of each leg?a)10 unitsb)5√2 units c)10√2 unitsd)15 unitsCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the two legs of a right angled triangle are equal and the square of the hypotenuse is 100 sq units, what is the length of each leg?a)10 unitsb)5√2 units c)10√2 unitsd)15 unitsCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for If the two legs of a right angled triangle are equal and the square of the hypotenuse is 100 sq units, what is the length of each leg?a)10 unitsb)5√2 units c)10√2 unitsd)15 unitsCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of If the two legs of a right angled triangle are equal and the square of the hypotenuse is 100 sq units, what is the length of each leg?a)10 unitsb)5√2 units c)10√2 unitsd)15 unitsCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the two legs of a right angled triangle are equal and the square of the hypotenuse is 100 sq units, what is the length of each leg?a)10 unitsb)5√2 units c)10√2 unitsd)15 unitsCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 7 tests.
|
|
Explore Courses for Class 7 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup