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An Equilateral Triangle Has An Area Of 25square Root Of 3 Inches Square. What Is The Height?

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Larry Patterson answered
Based on formula for area of equilateral triangle:  A=s^2 times square root of 3, over 4.
Get rid of square root symbols.  25 times sq root of 3= 25 x 1.732 = 43.30
s^2 times square root of 3, over 4  therefore, equals 43.30
Cross multiply, becomes  s^2 times sq root of 3 = 173.20
Divide both sides by 1.732
Leaves s^2 = 100, or s=10
Split triangle in half, and you have a rt triangle with hypotenuse of 10 and base of 5.
Height=  10^2 - 5^2 = x^2,  x^2= 75   so height = square root of 75
Check my work.  I may have screwed up somewhere along the line!

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