SOLUTION: What is the ratio of the longer leg to the hypotenuse in a 30-60-90 triangle? What is the ratio of a leg to the hypotenuse in a 45-45-90 triangle?

Click here to see ALL problems on Triangles

Question 1191777: What is the ratio of the longer leg to the hypotenuse in a 30-60-90 triangle?
What is the ratio of a leg to the hypotenuse in a 45-45-90 triangle?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!
You should know how to derive those on your own. You could use Pythagorean Theorem formula for help. Recognize that special 30-60-90 triangle is half of an equilateral triangle, and special 45-45-90 triangle is half of a square.

Answer by ikleyn(52778) (Show Source):
You can put this solution on YOUR website!
.

The ratio of the longer leg to the hypotenuse in a 30-60-90 triangle is cos(30°) = . The ratio of the leg to the hypotenuse in a 45-45-90 triangle is cos(45°) = .

Solved.