Question

5. Could the side lengths below form a right triangle? If yes, what is the value of the hypotenuse? 28, 53, 45 o yes. 28 o yes. 53 o yes. 45

Answer 1

the hypotenuse always has a larger measure

so, should be 53

but we can check with pythagoras

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

where a=28 and b=45 and h should be 45

$\begin{gathered} 28^2+45^2=h^2 \\ h=\sqrt[]{28^2+45^2} \\ h=\sqrt[]{2809} \\ h=53 \end{gathered}$

so the hypotenuse is 53