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Yes, this is known as the Pythagorean theorem. It states that a2 + b2 = c2 where a and b are the lengths of the two sides on either side of the right angle and c is the length of the hypotenuse.

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Q: The square of the length of the hypotenuse c of a right triangle varies jointly with the sum of the squares of the lengths of its legs a and b?
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Related questions

In a right triangle the sum of the squares of the leg lengths is equal of the lengths is equal to the square of the hypotenuse?

Yes


In a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs?

Yes


In a right triangle the sum of the squares of the leg lengths is equal to the square of the hypotenuse length?

Correct.


What is known as In a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs?

Pythagorean Theorem


This theorem states that in a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs?

pythagorean theorem.


What theorem states that in a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs?

the Pythagorean Theorem


What is the theorem that states a right triangle the sum of the squares of the leg lengths is equal to the square of the hypotenuse length?

It is Pythagoras' theorem


What is the hypotenuse of a triangle with side lengths of 5 and 2?

The hypotenuse of a right triangle with sides of 5 and 2 equals the square root of 29 (the sum of the squares of the other two sides) which is approximately 5.385.


What is the length of a hypotenuse?

A hypotenuse is the longest side of a right angled triangle. The length of a hypotenuse can be found using the Pythagorean Theorem. This states that in a right angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. This means that to find the length of the hypotenuse, you need to know the lengths of the other two sides.


What is the theorem called that states in a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs?

The Pythagorean Theorem


Who said The sum of the squares of the lengths of the sides of a right triangle is equal to the square of the length of the hypotenuse?

It was the ancient Greek mathematician Pythagoras


What is the hypotenuse of a right triangle with legs of lengths 5 and 12?

The hypotenuse of a right triangle is the square root of the sums of the squares of the lengths of the other two sides, i.e. it is c, where c2 = (a2 + b2).The hypotenuse for the example is c = [sqrt (52 + 122)] = [sqrt (25+144)]= sqrt [169] = 13.