SOLUTION: find the length of the side of an equilateral traingle whose altitude measures 10

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Question 405403: find the length of the side of an equilateral traingle whose altitude measures 10
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

Note: the altitude of this equilateral triangle would form a 30-60-90 triangle

with one of the sides... that side being the hypotenuse of the 30-60-90 Δ

In a 30-60-90 triangle,  sides are in ratio: sqrt(3):1:2  

In this example(10=5.774sqrt%283%29): ratio would be 5.774sqrt(3): 5.774: 11.547

the sides of the equilateral triangle would each be 11.547