SOLUTION: the length of one side of an equilateral triangle is 6 inches. find the length of one altitude of the triangle.

Algebra ->  Triangles -> SOLUTION: the length of one side of an equilateral triangle is 6 inches. find the length of one altitude of the triangle.      Log On


   

Question 946714: the length of one side of an equilateral triangle is 6 inches. find the length of one altitude of the triangle.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You can form a right triangle with one side as the hypotenuse, 1/2 of another side as one leg, and the altitude as the other leg.
A%5E2%2B%28S%2F2%29%5E2=S%5E2
A%5E2=S%5E2-S%5E2%2F4
A%5E2=%283%2F4%29S%5E2
A=%28sqrt%283%29%2F2%29S
A=3sqrt%283%29in