SOLUTION: the measure of the base of an isosceles triangle is 24cm and one of its sides is 20cm long. Find the distance between the centroid and the vertex opposite the base

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Question 663669: the measure of the base of an isosceles triangle is 24cm and one of its sides is 20cm long. Find the distance between the centroid and the vertex opposite the base
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,

base of an isosceles triangle is 24cm(PC=12) and one of its sides(AC=20) is 20cm long.
h(AP) = sqrt(20^2 - 12^2) = 16
Centroid Distance from base(OP) = %281%2F3%29h=+%281%2F3%29%2A16+=+16%2F3
distance between the centroid and the vertex opposite the base(A0):16-16%2F3=+32%2F3

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