Question

A right triangle has a hypotenuse of √52. What are possible lengths of the two legs of this triangle? Choose only those that apply

√4 or 2
√9 or 3
√16 or 4
√25 or 5
√36 or 6
√49 or 7
√64 or 8
√81 or 9
How did you get these answers?

Answer 1

4 and 6

Explanation:

a²+b²=c²

a²+b²=52

4+48=52: no bc 48 isn't valid as b²

9+43=52: no bc 43 isn't valid

16+36=52: yes bc both are allowed

25+27=52: no