SOLUTION: The area of an equilateral triangle is 125 sq. cm. Find its altitude? i need help coz i dont know how to answer it. my teacher didnt discuss this part :(

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Question 927131: The area of an equilateral triangle is 125 sq. cm. Find its altitude?
i need help coz i dont know how to answer it. my teacher didnt discuss this part :(
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
.
The area of an equilateral triangle is 125 sq. cm.
Find its altitude:
I. Altitude bisects Base
II. 30-60-90 Triangle is formed: Ratio of Sides: 1 : √3 : 2
III. 30-60-90 Triangle formed: sides: s/2, (s/2)√3, s
........
A = %281%2F2%29bh+=+%281%2F2%29%28s%29%28s%2Asqrt%283%29%2F2%29
A = %281%2F2%29%28s%29%28s%2Asqrt%283%29%2F2%29+=+125+cm%5E2
A = (1/4)s^2 √3 = 125
s =+sqrt%28+4%2A125%2Fsqrt%283%29%29 = 17 rounded
h =+17sqrt%283%29%2F2 = 8.5√3 = 14.7 rounded
and...checking
A = %281%2F2%29bh+=+%281%2F2%29%2817%29%2A14.7+ = 125 rounded