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 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 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.

1 answer

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 means that if a triangle has a right angle, the relationship between the lengths of the two legs (the sides adjacent to the right angle) and the hypotenuse (the side opposite the right angle) can be expressed mathematically as \( a^2 + b^2 = c^2 \), where \( c \) is the hypotenuse.