Which statement explains the Pythagorean Theorem? (1 point) • 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 the interior angles of a triangle add up to 180°, then the sum of the legs of the triangle is egual 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.

Question

A crisp, high-contrast image showing a right-angle triangle. The triangle should be in golden color, on a white surface and be carefully placed to emphasize its orientation. The longest side, known as the hypotenuse, of the triangle should be illustrated with a square attached to it to represent the square of the hypotenuse. The two remaining sides, known as the legs, should each also have squares attached representing their squares. Keep the image simple, clean, and minimalistic with no text included.

Which statement explains the Pythagorean Theorem? (1 point) • 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 the interior angles of a triangle add up to 180°, then the sum of the legs of the triangle is egual 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.

Answer 1

If a triangle is a right triangle, then the sum of the squares of the legs is equal to the square of the hypotenuse.

Answer 2

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.

Answer 3

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.

To arrive at this conclusion, suppose we have a right triangle with sides a, b, and c, where c is the hypotenuse. According to the Pythagorean Theorem, we can express this relationship as:

a^2 + b^2 = c^2.

In other words, summing the squares of the two legs (a^2 and b^2) will always be equal to the square of the hypotenuse (c^2).