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In the following figure, XY is parallel to BC, AX = 9 cm, XB = 4.5 cm and BC = 18 cm. Find : YCAC - Mathematics

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Question

In the following figure, XY is parallel to BC, AX = 9 cm, XB = 4.5 cm and BC = 18 cm.


Find : `(YC)/(AC)`

Sum

Solution

Given that XY || BC

So, ΔAXY ∼ ΔABC

`=> (AX)/(AB) = (AY)/(AC)`

`=> (AY)/(AC) = 1/(2 + 1)`

`=> (YC)/(AC) = 1/3`

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Areas of Similar Triangles Are Proportional to the Squares on Corresponding Sides
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Chapter 15: Similarity (With Applications to Maps and Models) - Exercise 15 (E) [Page 229]

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Selina Mathematics [English] Class 10 ICSE
Chapter 15 Similarity (With Applications to Maps and Models)
Exercise 15 (E) | Q 1.2 | Page 229
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