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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