Question

17. Each of the following gives the lengths, in inches, of the sides of a triangle. Which one isa right triangle? (1 pt)A 3,4,6B. 4,6,8C V5, V12, 13D V5, V5, V10

Answer 1

A triangle is a right triangle if it satisfies the pythagorean theorem:

`\begin{gathered} c^2=a^2+b^2 \\ where\colon \\ c>a,c>b \\ so\colon \\ for\colon \\ a=5 \\ b=12 \\ c=13 \\ 13^2=5^2+12^2 \\ 169=25+144 \\ 169=169 \\ This_{\text{ }}is_{\text{ }}_{}true \end{gathered}`

Therefore, the answer is C