Question 135399: The entrance to a tent is the shape of an equilateral triangle. If the base of the tent is 18 feet wide, then how tall is the tent? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The entrance to a tent is the shape of an equilateral triangle. If the base of the tent is 18 feet wide, then how tall is the tent?
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Draw the equilateral triangle.
Draw a perpendicular bisector from the top vertex to the base.
You now have two right triangles.
Use Pythagoras to solve for the height.
EQUATION:
h^2 + 9^2 = 18^2
h^2 = 18^2 - 9^2
h^2 = 243
height = sqrt243 = 15.59 feet
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Cheers,
Stan H.