Class 7 Exam > Class 7 Questions > The square of the hypotenuse of an isosceles ...
Start Learning for Free
The square of the hypotenuse of an isosceles right triangle is 200 cm find the length of each side?
Most Upvoted Answer
The square of the hypotenuse of an isosceles right triangle is 200 cm ...
Introduction:
In an isosceles right triangle, two sides are equal in length and the third side is the hypotenuse. In this problem, we are given that the square of the hypotenuse is 200 cm. We need to find the length of each side of the triangle.
Given:
Square of the hypotenuse = 200 cm
Explanation:
Step 1: Identify the formula:
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. We can use this formula to solve the problem.
Step 2: Write down the formula:
Hypotenuse² = Side₁² + Side₂²
Step 3: Substitute the given values:
200 cm = Side₁² + Side₂²
Step 4: Simplify the equation:
Since the isosceles right triangle has two equal sides, we can let Side₁ = Side₂ = x.
200 cm = x² + x²
200 cm = 2x²
Step 5: Solve for x:
Dividing both sides of the equation by 2:
100 cm = x²
Taking the square root of both sides:
√100 cm = √(x²)
10 cm = x
Step 6: Find the length of each side:
Since the isosceles right triangle has two equal sides, the length of each side is 10 cm.
Conclusion:
The length of each side of the isosceles right triangle is 10 cm.
In an isosceles right triangle, two sides are equal in length and the third side is the hypotenuse. In this problem, we are given that the square of the hypotenuse is 200 cm. We need to find the length of each side of the triangle.
Given:
Square of the hypotenuse = 200 cm
Explanation:
Step 1: Identify the formula:
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. We can use this formula to solve the problem.
Step 2: Write down the formula:
Hypotenuse² = Side₁² + Side₂²
Step 3: Substitute the given values:
200 cm = Side₁² + Side₂²
Step 4: Simplify the equation:
Since the isosceles right triangle has two equal sides, we can let Side₁ = Side₂ = x.
200 cm = x² + x²
200 cm = 2x²
Step 5: Solve for x:
Dividing both sides of the equation by 2:
100 cm = x²
Taking the square root of both sides:
√100 cm = √(x²)
10 cm = x
Step 6: Find the length of each side:
Since the isosceles right triangle has two equal sides, the length of each side is 10 cm.
Conclusion:
The length of each side of the isosceles right triangle is 10 cm.
Attention Class 7 Students!
To make sure you are not studying endlessly, EduRev has designed Class 7 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 7.
|
Explore Courses for Class 7 exam
|
|
Similar Class 7 Doubts
Top Courses for Class 7View all
The square of the hypotenuse of an isosceles right triangle is 200 cm find the length of each side?
Question Description
The square of the hypotenuse of an isosceles right triangle is 200 cm find the length of each side? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The square of the hypotenuse of an isosceles right triangle is 200 cm find the length of each side? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The square of the hypotenuse of an isosceles right triangle is 200 cm find the length of each side?.
The square of the hypotenuse of an isosceles right triangle is 200 cm find the length of each side? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The square of the hypotenuse of an isosceles right triangle is 200 cm find the length of each side? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The square of the hypotenuse of an isosceles right triangle is 200 cm find the length of each side?.
Solutions for The square of the hypotenuse of an isosceles right triangle is 200 cm find the length of each side? 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 The square of the hypotenuse of an isosceles right triangle is 200 cm find the length of each side? defined & explained in the simplest way possible. Besides giving the explanation of
The square of the hypotenuse of an isosceles right triangle is 200 cm find the length of each side?, a detailed solution for The square of the hypotenuse of an isosceles right triangle is 200 cm find the length of each side? has been provided alongside types of The square of the hypotenuse of an isosceles right triangle is 200 cm find the length of each side? theory, EduRev gives you an
ample number of questions to practice The square of the hypotenuse of an isosceles right triangle is 200 cm find the length of each side? tests, examples and also practice Class 7 tests.
|
|
Explore Courses for Class 7 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup