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 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.

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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 mathematically expressed as \(a^2 + b^2 = c^2\), where \(a\) and \(b\) are the lengths of the legs of the right triangle, and \(c\) is the length of the hypotenuse.

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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 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.

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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 mathematically expressed as \(a^2 + b^2 = c^2\), where \(a\) and \(b\) are the lengths of the legs of the right triangle, and \(c\) is the length of the hypotenuse.

Ask a New Question or answer this question.

GPT-4o · 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 can be mathematically expressed as \(a^2 + b^2 = c^2\), where \(a\) and \(b\) are the lengths of the legs of the right triangle, and \(c\) is the length of the hypotenuse.