SOLUTION: Express the area A of a 30-60-90 degree triangle as a function of the length h, where h is the shortest side.

Algebra ->  Functions -> SOLUTION: Express the area A of a 30-60-90 degree triangle as a function of the length h, where h is the shortest side.      Log On


   

Question 942923: Express the area A of a 30-60-90 degree triangle as a function of the length h, where h is the shortest side.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The ratio of the sides is:
+1+, +sqrt%283%29+, +2+
These sides are opposite these angles:
30, 60, 90
If the side opposite the 30 degree angle is +h+,
then the sides are:
+h+, +sqrt%283%29%2Ah+, +2%2Ah+
-----------------------------
+A+=+%281%2F2%29%2Ab%2Ah+
The base, +b+ is +sqrt%283%29%2Ah+
+A+=+%281%2F2%29%2Asqrt%283%29%2Ah%2Ah+
+A+=+%281%2F2%29%2Asqrt%283%29%2Ah%5E2+