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In the following figure, XY || BC. Find the length of XY.

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Question

In the following figure, XY || BC. Find the length of XY.

Sum
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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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Chapter 7: Triangles - EXERCISE 7.4 [Page 7.66]

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R.D. Sharma Mathematics [English] Class 10
Chapter 7 Triangles
EXERCISE 7.4 | Q 3. | Page 7.66
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