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In Below Figure, ∠A = ∠Ced, Prove that δCab ~ δCed. Also, Find the Value of X. - Mathematics

In below figure, ∠A = ∠CED, Prove that ΔCAB ~ ΔCED. Also, find the value of x.

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Solution

We have, ∠A = ∠CED

In ΔCAB and ΔCED

∠C = ∠C                               [Common]

∠A = ∠CED                             [Given]

Then, ΔCAB ~ ΔCED                  [By AA similarity]

`therefore"CA"/"CE"="AB"/"ED"`                 [Corresponding parts of similar Δ are proportional]

`rArr15/10=9/x`

`rArrx=(10xx9)/15=90/15=6 ` cm

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 7 Triangles
Exercise 7.5 | Q 12 | Page 75
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