Question 604340: how do i find both the area and height of an equalateral triangle with all sides 5.4 yeards
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! how do i find both the area and height of an equilateral triangle with all sides 5.4 yeards
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Sketch the triangle.
Draw an altitude from a vertex perpendicular to the opposite side.
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The altitutde bisects the base.
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You have 2 right triangles with base = 5.4/2 = 2.7,
height = h, and hypotenuse = 5.4
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Use Pythagoras to get:
h^2 + 2.7^2 = 5.4^2
h^2 = 5.4^2-2.7^2
height = 4.68
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Area = (1/2)base*height
= (1/2)5.4*4.68 = 12.63 sq. units
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Cheers,
Stan H.
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