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

A{2,3, sqrt of 13}
B{2,2,4}
C(1,2, sqrt of 3 wouldn't it be B because it has all even numbers?

Verified Answer :

naǫ

In a right triangle the sum of the squares of the lengths of two shorter sides is equal to the square of the length of the longest side.

a.
\(2^2+3^2=(\sqrt{13})^2 \\ 4+9=13 \\ 13=13 \\ true\)

b.
\(2^2+2^2=4^2 \\ 4+4=16 \\ 8=16 \\ not \ true\)

c.
\(1^2+(\sqrt{3})^2=2^2 \\ 1+3=4 \\ 4=4 \\ true\)

The answer is A and C.