Question

Question

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°
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.
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.

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 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 sides (legs) of the right triangle.