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 all angles in a triangle are of equal measure, then the length of all sides will be equal.
O 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 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.
The 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 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 understand this theorem, you can consider a right triangle, which is a triangle with one angle measuring 90 degrees. In a right triangle, the two sides that are adjacent to the right angle are called the legs, and the side opposite the right angle is called the hypotenuse.
The Pythagorean Theorem states that the sum of the squares of the lengths of the two legs of a right triangle is always equal to the square of the length of the hypotenuse. Mathematically, it can be expressed as:
a^2 + b^2 = c^2
where "a" and "b" are the lengths of the legs, and "c" is the length of the hypotenuse.
By using this theorem, you can calculate the length of any side of a right triangle if you know the lengths of the other two sides.