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

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Sum

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

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Solution

True

In ΔADE and ΔACB,

∠A = ∠A  ....[Common angle]

∠D = ∠C  ......[Given]

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

Concept: Similarity of Triangles
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APPEARS IN

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