Which statement explains the Pythagorean Theorem?(1 point) Responses 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 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 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 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.

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 can be mathematically stated as \( a^2 + b^2 = c^2 \), where \( a \) and \( b \) are the lengths of the legs, and \( c \) is the length of the hypotenuse.