95.2k views
3 votes
CalculatorWhich set of numbers could represent the lengths of the sides of a right triangle?O 8, 12, 16O 5, 12, 13O 16, 32, 36O 6, 7,8

User JCLaHoot
by
3.1k points

1 Answer

2 votes

To determine if 3 side lengths are a triangle, use the triangle inequality theorem, which states that the sum of 2 sides of a triangle must be greater than the third side.

Therefore, all you have to do is add together each combination of 2 sides to see if it's greater than the third side.

Let's check the given choices:

A.) 8, 12, 16

8 + 12 > 16

18 > 16 ✔

8 + 16 > 12

24 > 12 ✔

User Samuel MacLachlan
by
3.7k points