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In the Given Figure, Ab and De Are Perpendiculars to Bc. Prove that : δAbc ~ δDec - Mathematics

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Question

In the given figure, AB and DE are perpendiculars to BC.

Prove that : ΔABC ~  ΔDEC 

Sum

Solution

In ΔABC and ΔDEC, 

∠ABC = ∠DEC ...(both are right angles)
∠ACB = ∠DCE ....(common angles)

ΔABC ∼ ΔDEC ...(AA criterion for similarity)

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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 232]

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Selina Mathematics [English] Class 10 ICSE
Chapter 15 Similarity (With Applications to Maps and Models)
Exercise 15 (E) | Q 27.1 | Page 232

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