Which statement explains the Pythagorean Theorem? (1 point)

Question

If the interior angles of a triangle add up to , then the sum of the legs of the
triangle is equal to the square of the hypotenuse.
180°
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 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.

In mathematical terms, if a right triangle has legs of lengths 'a' and 'b', and a hypotenuse of length 'c', the Pythagorean Theorem states that:

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