Question

What is the length of the longer leg of the right triangle shown below?

Type your answer as an integer.
A right triangle has hypotenuse of length 13 and a side with length 5.

Answer 1

`\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies √(c^2-a^2)=b \qquad \begin{cases} c=\stackrel{hypotenuse}{13}\\ a=\stackrel{adjacent}{5}\\ b=opposite\\ \end{cases} \\\\\\ √(13^2-5^2)=b\implies √(144)=b\implies 12=b`