In rectangle JUMP with diagonal JM, JU=8 and JM = 12. Find the length of UM. Give your answer in simplest radical form.
We can use the Pythagorean Theorem here :
UM = sqrt (JM^2 - JU^2 ) = sqrt ( 12^2 - 8^2) = sqrt ( 144 - 64) = sqrt ( 80) = 4sqrt(5) units