Question

How do I find the length of side a in the right triangle, if b=6 and c= 10?

I need to find the exact answer, using radicals as needed.

Answer 1

\[a^2+b^2=c^2\]


\[a^2+6^2=10^2\]


\[a^2+36=100\]


\[a^2=100-36\]


\[a^2=64\]


\[a=\sqrt{64}\]


\[a=8\]