SOLUTION: Given P(a,b) and Q( 3a,5b), what is the distance from R(3a,2b) to the midpoint of PQ? I think it is sqrt a^2+16b^2 ??????????????

Question 139831: Given P(a,b) and Q( 3a,5b), what is the distance from R(3a,2b) to the midpoint of PQ? I think it is sqrt a^2+16b^2 ??????????????
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Given P(a,b) and Q( 3a,5b), what is the distance from R(3a,2b) to the midpoint of PQ?
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The midpoint of PQ is [(a+3a)/2 , (5b+b)/2] or (2a,3b)
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The distance from (3a,2b) to (2a,3b) is:
d = sqrt[(3a-2a)^2 + (2b-3b)^2] = sqrt[a^2+b^2]
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Cheers,
Stan H.
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