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State which pair of triangles in the following figure are similar. Write the similarity criterion used by you for answering the question, - Mathematics

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Question

State which pair of triangles in the following figure are similar. Write the similarity criterion used by you for answering the question, and also write the pairs of similar triangles in the symbolic form:

Sum

Solution

In ΔABC and ΔDEF, we have

AB = 2.5, BC = 3, ∠A = 80°, EF = 6, DF = 5, ∠F = 80°

Here, `("AB")/("DF") = 2.5/5 = 1/2`

And, `("BC")/("EF") = 3/6 = 1/2`

⇒ ∠B ≠ ∠F

Hence, ΔABC and ΔDEF are not similar.

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Chapter 6: Triangles - Exercise 6.3 [Page 139]

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NCERT Mathematics [English] Class 10
Chapter 6 Triangles
Exercise 6.3 | Q 1.5 | Page 139

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