SOLUTION: Make a sketch for each problem. Approximately each square root to the nearest hundredth. Find the area of a triangle with three sides of length 4 cm.

Question 1030498: Make a sketch for each problem. Approximately each square root to the nearest hundredth.
Find the area of a triangle with three sides of length 4 cm.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Make a sketch for each problem. Approximately each square root to the nearest hundredth.
Find the area of a triangle with three sides of length 4 cm.
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Sketch the equilateral triangle.
Sketch an altitude from the top vertex to the base opposite.
That is a perpendicular bisector of the base.
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You now have two right triangles with base = 2 and hypotenuse = 4
The altitide = sqrt[4^2-2^2] = sqrt(14)
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Area of the original triangle = 2*(1/2)base*height = b*h
= 2*sqrt(14) = 7.48 cm^2
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Cheers,
Stan H.
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