SOLUTION: The measure of the longest leg in this 30-60-90 triangle is 42 miles. Find the length of the hypotenuse

Algebra ->  Triangles -> SOLUTION: The measure of the longest leg in this 30-60-90 triangle is 42 miles. Find the length of the hypotenuse      Log On


   

Question 264053: The measure of the longest leg in this 30-60-90 triangle is 42 miles. Find the length of the hypotenuse
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
The longest leg is opposite the 60 degree angle. To get from longest side to hypotenuse, we multiply by 2/sqrt(3).
So, we get
42*2/sqrt(3) = 48.5 miles