Which statement explains the Pythagorean Theorem?(1 point)

Responses

If a triangle is a right triangle, then the sum of the squares of the legs is equal to the square of the hypotenuse.
If a triangle is a right triangle, then the sum of the squares of the legs is equal to the square of the hypotenuse.

If a triangle is a right triangle, then the sum of the squares of the longest leg and the hypotenuse is equal to the square of the third side.
If a triangle is a right triangle, then the sum of the squares of the longest leg and the hypotenuse is equal to the square of the third side.

If the interior angles of a triangle add up to 180°
, then the sum of the legs of the triangle is equal to the square of the hypotenuse.
If the interior angles of a triangle add up to 180 degrees , then the sum of the legs of the triangle is equal to the square of the hypotenuse.

If all angles in a triangle are of equal measure, then the length of all sides will be equal.

1 answer

The statement that correctly explains the Pythagorean Theorem is:

If a triangle is a right triangle, then the sum of the squares of the legs is equal to the square of the hypotenuse.

This Pythagorean Theorem can be expressed mathematically as \(a^2 + b^2 = c^2\), where \(c\) is the length of the hypotenuse, and \(a\) and \(b\) are the lengths of the other two legs of the right triangle.