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

Question

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

Answer 1

The correct statement that 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 can be mathematically expressed 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 triangle.