SOLUTION: three side of equal length, x, cm, are joined to form an equilateral triangle. if the height of the triangle is 12 cm, find the value of x.

Algebra ->  Algebra  -> Triangles -> SOLUTION: three side of equal length, x, cm, are joined to form an equilateral triangle. if the height of the triangle is 12 cm, find the value of x.      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 317111: three side of equal length, x, cm, are joined to form an equilateral triangle. if the height of the triangle is 12 cm, find the value of x.
Answer by Fombitz(13828) About Me  (Show Source):
You can put this solution on YOUR website!
The height, half of a side, and a side form a right triangle.
h%5E2%2B%28x%2F2%29%5E2=x%5E2
h%5E2=%283x%5E2%29%2F4
144=%283x%5E2%29%2F4
x%5E2=192
x=8%2Asqrt%283%29