The line parallel to BC of AABC meets AB and AC at X and Y respectively. If AX=4cm, YC = 9cm and XB=AY find the length of AB.
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Answer:
Correct option is
C
6cm
In △AXY and △ABC
∠AXY=∠B [corresponding angle]
∠A=∠A
∴△AXY∼△ABC [AA Similarity]
Given AB=4BX
Let BX=x
∴AB=4x i.e, AX=3x
BX
AX
=
YC
AY
⇒
x
3x
=
2
AY
⇒AY=6cm
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