Question

Which of the following sets of measurements could be the sides of a right triangle?

A: 5, 12, 13
B: 2, 3, 13
C: 4, 5, 9
D: 3, 9, 12

Answer 1

a. 5,12,13

Explanation:

we know in right angle triangle

AC^2 = AB^2 + BC^2

here let

AC = 13

AB = 5

BC = 12

So,

13 ^2 = 5^2+ 12^2

169 = 25 + 144

169 = 169

so,

sides of right angle triangle are 5,12,13

and only the largest value in given data can be AC as AC is hypotenuse