SOLUTION: You are given a 30-60-90 degree triangle with the shortest leg having a length 42 units. What will the length of the longest leg and of the hypotenuse be?

Algebra ->  Triangles -> SOLUTION: You are given a 30-60-90 degree triangle with the shortest leg having a length 42 units. What will the length of the longest leg and of the hypotenuse be?      Log On


   

Question 253079: You are given a 30-60-90 degree triangle with the shortest leg having a length 42 units. What will the length of the longest leg and of the hypotenuse be?
Found 2 solutions by hokies, richwmiller:
Answer by hokies(65) About Me  (Show Source):
You can put this solution on YOUR website!
The ratios of the sides of a 30-60-90 triangle are 1:sqrt(3):2
Therefore, the longest leg is 42*sqrt(3) and the hypotenuse is 42*2=84.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
If the shortest leg is 42
in a 30-60-90 triangle the sides are in proportion
1:2:sqrt(3)
In order of size 1:sqrt(3):2
but for memory 1:2:sqrt(3).
the hypotenuse is twice the smallest 2*42= 84
and the other leg is 42sqrt(3)
This is one of the special triangles.