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 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.
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.

1 answer

The correct statement explaining 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 \( a \) and \( b \) are the lengths of the two legs of the right triangle, and \( c \) is the length of the hypotenuse, the theorem can be stated mathematically as:

\[ a^2 + b^2 = c^2 \]