Q4 of 168 Page 5

In Fig. 4.138, . Find the length of XY.

We have , XY||BC


In Δ AXY and ΔABC


<A = <A (Common)


<AXY = <ABC (Corresponding angles)


Then, Δ AXY ~ΔABC (By AA Similarity)


So, (Corresponding parts of similar triangle area proportion)


Or


Or XY = 6/4


Or XY = 1.5cm


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