Does this set satisfy the Pythagorean theorem? The numbers might not be listed in a, b, c order. $$( - 20 , - 21 , - 29 )$$
A) no
B) yes

Question

Quizplus · Accepted Answer

The Pythagorean Theorem states that in a right triangle, the square of the length of the longest side (the hypotenuse) is equal to the sum of the squares of the lengths of the other two sides. Therefore, in order to determine if a set of three numbers satisfies the Pythagorean Theorem, we need to check if the square of the largest number is equal to the sum of the squares of the other two numbers. For this set, the largest number is -29, and the other two numbers are -20 and -21. However, (-20)^2 + (-21)^2 = 881, which is not equal to (-29)^2 = 841. Therefore, this set does not satisfy the Pythagorean Theorem.

Does This Set Satisfy the Pythagorean Theorem? the Numbers Might (−20,−21,−29)( - 20 , - 21 , - 29 )(−20,−21,−29)

Does This Set Satisfy the Pythagorean Theorem? the Numbers Might $( - 20 , - 21 , - 29 )$