Question

Which of the following sets of numbers could not represent the three sides of a right triangle?

A) {15,20,25}
B) {30,40,50}
C) {33,44,55}
D) {5,12,14}

Answer 1

D

Explanation:

A^2+B^2=C^2

For A, 15^2(225)+20^2(200)=625, and 25^2=625

For B, 30^2(900)+40^2(1,600)=2,500, and 50^2=2,500

For C, 33^2(1,089)+44^2(1,936)=3,025, and 55^=3,025

But for D, 5^2(25)+12^2(144)=169, and 14^2=196, and 169 and 196 are not equal.