SOLUTION: Three sides of equal length, Xcm, are joined to form an equilateral triangle. If the height of the triangle is 12cm, find the value of x
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Question 1063973: Three sides of equal length, Xcm, are joined to form an equilateral triangle. If the height of the triangle is 12cm, find the value of x Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! The height of an equilateral triangle is a perpendicular bisector, therefore
:
(x/2)^2 + 12^2 = x^2
:
x^2 - (x^2/4) = 144
:
3x^2/4 = 144
:
3x^2 = 576
:
x^2 = 192
:
x = 13.8564 cm
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