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Question

Mid-points of the sides AB and AC of a ABC are (3, 5) and (-3, -3) respectively, then the length of the side BC is :

A
10
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B
20
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C
15
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D
30
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Solution

The correct option is B 20
GivenABCisatriangle.ThemidpointofACisPandthatofABisQ.tofindoutthelengthofPQ=?SolutionWeshallusethemidpointtheoremwhichsays,thelinejoiningthemidpointsofthetwosidesofatriangle,isparalleltoandhalfthethirdside.2PQ=BC.NowP(x1,y1)=(3,5)andQ(x2,y2)=(3,3).Usingdistanceformula,PQ=(x1x2)2+(y1y2)2=(3+3)2+(5+3)2units=10units.BC=2PQ=2×10units=20units.AnsOptionB.
396242_343346_ans.png

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