SOLUTION: consider an equilateral triangle whose side lengths are each equal to 8 inches shown below. determine the area of the equilateral triangle in simplest radical form. first find the

Question 1009766: consider an equilateral triangle whose side lengths are each equal to 8 inches shown below. determine the area of the equilateral triangle in simplest radical form. first find the height of the equilateral triangle by using the pythagorean theorem on 1/2 of the equilateral triangle
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The height is 4sqrt(3) inches
Each side is 8 inches
the altitude bisects the base, so there are two triangles with common height, hypotenuse 8, and short leg 4.
4^2+x^2=8^2
16+x^2=64
x^2=48
x=4 sqrt (3), altitude
Area is (1/2)bh=(1/2)(8)(4 sqrt(3))=16 sqrt (3) sq in.
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