Question

Question 1 1. Which is NOT a true statement about the Pythagorean theorem? a. The Pythagorean theorem applies to all right triangles. b. The hypotenuse is always the longest length of the right triangle. c. The legs are always across from the 90° angle. d. The sum of the squares of the legs equals the square of the hypotenuse.

Answer 1

Let's verify each statements if they are true.

a.) The Pythagorean theorem applies to all right triangles.

TRUE - Pythagorean Theorem only works with right triangles.

b.) The hypotenuse is always the longest length of the right triangle.

TRUE - The hypotenuse is always the longest side in a right triangle because it is opposite of the largest angle, the ninety degree angle.

c.) The legs are always across from the 90° angle.

FALSE - The hypotenuse is always across from the 90° angle.

d.) The sum of the squares of the legs equals the square of the hypotenuse.

TRUE - we use this relationship as the Pythagorean Formula.

Therefore, the statement C is not a true statement,