Pythagorean Theorem Proofs Quick Check

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

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.
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 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 all angles in a triangle are of equal measure, then the length of all sides will be equal.

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 statement accurately describes the Pythagorean Theorem: \( a^2 + b^2 = c^2 \), where \( a \) and \( b \) are the lengths of the legs, and \( c \) is the length of the hypotenuse.