Question

Which of the following sets of numbers could represent the three sides of a triangle?

1) {15, 23, 37}
2) {6,8,14}
3) {7, 22, 30}
4) {7, 21, 30}

Answer 1

NONE

Explanation:

You have to do a² + b² = c²

To do it you have to put the three numbers from least to greatest for it to work. They already are so that's good.

15² + 23² = 37² (solve)

225 + 529 = 1369

754 ≠ 1369

6² + 8² = 14² (solve)

36 + 64 = 196

100 ≠ 196

7² + 22² = 30²

49 + 484 = 900

433 ≠ 900

7² + 21² = 30²

49 + 441 = 900

490 ≠ 900

I don't know what happened, but none of these would work.

I even used a pythagorean theorem calculator to check my work and none of them match.

Hope this helps!