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In figure, if ∠D = ∠C, then it is true that ΔADE ~ ΔACB? Why? - Mathematics

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Question

In figure, if ∠D = ∠C, then it is true that ΔADE ~ ΔACB? Why?

Sum

Solution

In ΔADE and ΔACB,

∠A = ∠A  ...[Common angle]

∠D = ∠C  ...[Given]

ΔADE ~ ΔACB  ...[By AAA similarity criterion]

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Chapter 6: Triangles - Exercise 6.2 [Page 65]

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NCERT Exemplar Mathematics [English] Class 10
Chapter 6 Triangles
Exercise 6.2 | Q 11 | Page 65
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