Question

In a 30°-60°-90° triangle, the length of the hypotenuse is 30. Find the length of the longer leg.

Answer 1

Theorem.  In a 30°-60°-90° triangle the sides are in the ratio 1 : 2 :  ;
Because the length of the hypotenuse is 30 , the length of the longer leg is $15 \sqrt{3} ;$