Question

Which of the following could be the ratio between the lengths of the two legsof a 30-60-90 triangle?Check all that apply.A. 2:13OB. 5:15C. 2:15OD. 1 : 15E. 1 : 2UO F. 5:3

Answer 1

Let a, b, c be the length of sides of the triangle lying opposite to angles measuring 30, 60 and 90 degrees, respectively.

Applying the sine law,

`(a)/(\sin30)=(b)/(\sin60)=(c)/(\sin 90)`