Standard: MM2G1

PROBLEM: How do I find the cosine of a 30-60-90 triangle?

Solve: If you have a right triangle, the short leg has the length of 2 inches and the long leg has the length of 2 times the square root of 3. The hypotenuse is 4 inches long. external image 30-60-90_triangle.jpg
If the ratio for cosine is adjacent/hypotenuse, the ratio for this triangle is 2 times the square root of 3 over 4. so when you divide thaty you get 1.7320.


In a 30-60-90 triangle, the hypotenuse is twice as long as the shorter leg, and the longer leg is the square root of 3 tmes as long as the shorter leg.