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Q: 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?

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Pythagorean theorema2 + b2 = c2

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.

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.

Pythagorean Theorem: In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.Converse: If the square on the hypotenuse is equal to the sum of the squares on the other two sides of a triangle, then it is a right triangle.

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Yes

Correct.

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It was the ancient Greek mathematician Pythagoras

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.

Pythagorean Theorem: a2 + b2 = c2

Pythagorean theorema2 + b2 = c2

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.