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Question

In a , AD is the bisector of ΔABC, meeting side BC at D. If AB = 10 cm, AC = 6 cm, BC = 12 cm, find BD.
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A
3.3
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B
18
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C
7.5
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D
1.33
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Solution

The correct option is C 7.5

In ΔBADandΔDAC,BAD=DACABD=ACD

[sinceADiscommon,anglesoppositeequalsidesareequal].

Hence the triangles are similar by AA.

So, ACAB=DCDB610=12xx6x=12010x16x=120orx=7.5.

Hence BD = 7.5cm.


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