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Margaret [11]
3 years ago
14

I need help desperately

Mathematics
1 answer:
deff fn [24]3 years ago
3 0

See attachment for math work and answer.

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Let G denote the centroid of triangle ABC. If triangle ABG is equilateral with side length 2, then determine the perimeter of tr
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We know from Euclidean Geometry and the properties of a centroid that GC=2GM. Now GM=sin60*GA=\sqrt{3}. Hence CM=GC+GM=3*\sqrt{3} /. Now, since GM is normal to AB, we have by the pythagoeran theorem that:
AC^2=AM^2+GM^2=BM^2+GM^2=BC^2
Hence, we calculate from this that AC^2= 28, hence AC=2*\sqrt{7}=BC. Thus, the perimeter of the triangle is 2+4*\sqrt{7}.

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Please help me it would mean the world. Extra points!
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Answer:

i inserted image for your work

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