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Question
In the following figure, XY || BC. Find the length of XY.
Solution
We have, XY || BC
In ΔAXY and ΔABC
∠A = ∠A [common]
∠AXY = ∠ABC [corresponding angles]
Then, ΔAXY ~ ΔABC [By AA similarity]
`therefore"AX"/"AB"="XY"/"BC"` [Corresponding parts of similar Δ are proportional]
`rArr1/4="XY"/6`
`rArr"XY"=6/4=1.5` cm
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