Question

Given a 30-60-90 triangle with a long

leg of 9 in, determine the length of the
hypotenuse.

Answer 1

10.38 in

Explanation:

Long side would be opposite to 60°.

Since, side opposite to 60° is root 3 upon 2 times of hypotenuse.

`9 = ( √(3) )/(2) * hypotenuse \\ \\ hypotenuse = (9 * 2)/( √(3) ) \\ = (18)/( √(3) ) = (18 √(3) )/(3) = 6 √(3) = 6 * 1.73 \\ \: \: \: \red{ \bold{hypotenuse = 10.38 \: in}}`