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