Fill in the blanks

Question

A) Given a 30-60-90 triangle and the side opposite 60(degrees) is 5. The side opposite 30(degrees) is _______ and the hypotenuse is ______.

B) Given a 45-45-90 triangle and the side hypotenuse is 7.

The shorter sides (legs) are each _____.

Answer 1

a)

side opposite 30 degrees is 5/sqrt(3) = 5*sqrt(3)/3

hypotenuse = 10*sqrt(3)(/3

b) shorter legs are both 7/sqrt(2) = 7*sqrt(2)/2