The altitude of an equilateral triangle is 12. What is the length of a side and what is the area of the triangle?

1 Answer
Dec 9, 2015

Length of one side is 83 and area is 483.

Explanation:

Let side length, altitude (height), and area be s, h, and A respectively.

×h=3s2

s3223=1223
s=122333
×x=83

×A=ah2
×x=83122
×x=483