SOLUTION: the diagram below shows the equilateral triangle abc, whose sides are 6 inches long. use the relationship below to find h, the hight of triangle abc. leave your answer in the simpp

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Question 883401: the diagram below shows the equilateral triangle abc, whose sides are 6 inches long. use the relationship below to find h, the hight of triangle abc. leave your answer in the simppest radical form
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Drop a line from a vertex of one of the angles and place the other end of the line at the midpoint of the opposing side.
This height is one side of a right triangle.
The other side is (1/2)6=3 because it is the midpoint of the side.
The hypotenuse is the side of the equilateral triangle, 6.
Use the Pythagorean theorem,
6%5E2=h%5E2%2B3%5E2
h%5E2=36-9
h=sqrt%2827%29
highlight%28h=3sqrt%283%29%29
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