SOLUTION: find the area of Triangle ABC where a=b=c=12

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Question 700950: find the area of Triangle ABC where
a=b=c=12

Found 2 solutions by MathLover1, checkley79:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

where is base and is height
if given , means you have an Equilateral Triangle and base
now we need to calculate height which could be find using Pythagorean theorem because it divides equilateral triangle into two right angle triangles; so,






...we need only positive root because height could be only positive number

then, the area will be:




Answer by checkley79(3341)   (Show Source): You can put this solution on YOUR website!
a=b=c=12
AREA=BH/2
a^2=b^2+c^2
12^2=6^2+c^2
144=36+c^2
c^2=144-36
c^2=108
c=sqrt108
c=10.39 is the height.
area=12*10.39/2
area=124.70/2
area=62.35 ans.

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