SOLUTION: a)write formula for function. b) use the formula to find the indicated value of the function. the height (h) of an equilateral triangle as a function of its side length (s); the h

Algebra ->  Triangles -> SOLUTION: a)write formula for function. b) use the formula to find the indicated value of the function. the height (h) of an equilateral triangle as a function of its side length (s); the h      Log On


   



Question 491915: a)write formula for function. b) use the formula to find the indicated value of the function.
the height (h) of an equilateral triangle as a function of its side length (s); the height of an equilateral triangle of the side length 3m.

Answer by cleomenius(959) About Me  (Show Source):
You can put this solution on YOUR website!
For an equilateral triangle, When you draw the perpendicular angle bisector, you will obtain a 30 -60 -90 triangle with one of the sides as the hypotenuse, which is s
The height, opposite the 60 degree angle, is s*sqrt%283%29/2.
Therefore f(x) = x*sqrt%283%29/2.
So, it follows f(3) = 3*sqrt%283%29/2. This will be the height with a side of 3.
Cleomenius.