SOLUTION: XYZ is an equileteral triangle of length 10cm. Find: a) calculate the height if the triangle using pythagoras theorem. b) calculate the area of the triangle

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Question 749006: XYZ is an equileteral triangle of length 10cm. Find:
a) calculate the height if the triangle using pythagoras theorem.
b) calculate the area of the triangle

Answer by timvanswearingen(106)   (Show Source): You can put this solution on YOUR website!
The height would be drawn from a vertex to the midpoint of the opposite side. Setting up a right triangle and using the Pythagorean Theorem:







The height is:

Area is 1/2*base*height. The base is 10 and we just found the height:



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