हिंदी

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

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प्रश्न

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

योग
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उत्तर

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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अध्याय 7: Triangles - EXERCISE 7.4 [पृष्ठ ७.६६]

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आर.डी. शर्मा Mathematics [English] Class 10
अध्याय 7 Triangles
EXERCISE 7.4 | Q 3. | पृष्ठ ७.६६
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