In Fig, XY ii BC Find the length of XY. – InterviewSolution

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1.

In Fig, XY ii BC Find the length of XY.

Answer»

We have , XY || BC

In Δ AXY and ΔABC

∠A = ∠A (Common)

∠AXY = ∠ABC (Corresponding angles)

Then, Δ AXY ~ΔABC (By AA Similarity)

So,\(\frac{AX}{BY}\) = \(\frac{XY}{BC}\) (Corresponding parts of similar triangle area proportion)

Or \(\frac{1}4\) = \(\frac{XY}6\)

Or XY = 6/4

Or XY = 1.5cm

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