Question

which side lengths form a right triangle?A. 1,5,26B. 1.5,2,2.5C. 4,4, √32

Answer 1

ANSWER:

The correct choices are B and C

STEP-BY-STEP EXPLANATION:

For it to be a right triangle, it must fulfill the Pythagorean theorem that says the following:

$a^2+b^2=h^2$

We apply for each case, like this

$\begin{gathered} 1^2+5^2=26^2\rightarrow26=676\rightarrow\text{ This is false therefore it is not a right triangle} \\ 1.5^2+2^2=2.5^2\rightarrow6.25=6.25\rightarrow\text{ This is true therefore it is a right triangle} \\ 4^2+4^2=(\sqrt[]{32})^2\rightarrow32=32\rightarrow\text{ This is true therefore it is a right triangle} \end{gathered}$