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State which pair of triangles in the given 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 given 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
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Solution

In ΔABC and ΔPQR

`("AB")/("QR") = 2/4 = 1/2`

`("BC")/("RP") = 2.5/5 = 1/2`

`("CA")/("PQ") = 3/6 = 1/2`

`("AB")/("QR") = ("BC")/("RP") = ("CA")/("PQ")`

∴ ΔABC ~ ΔQRP           ...[By SSS similarity criterion]

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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 1.2 | Page 139
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