Use the Pythagorean Theorem to determine if the three numbers could be the measures of the sides of a right triangle. Assume that the largest is the hypotenuse. 20, 6, 21

A. yes
B. no

does 6^2 + 20^2 = 21^2 ?

The answer is definitely no

To determine whether the three numbers can be the measures of the sides of a right triangle, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Let's assume that 21 is the length of the hypotenuse. To check if the numbers 20, 6, and 21 satisfy the Pythagorean Theorem, we can calculate:

20² + 6² = 400 + 36 = 436
21² = 441

According to the Pythagorean Theorem, if these three numbers can represent the sides of a right triangle, the sum of the squares of the two smaller sides should be equal to the square of the largest side (hypotenuse).

In this case, since 436 is not equal to 441, the numbers 20, 6, and 21 cannot be the measures of the sides of a right triangle. The answer is B. no.