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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:
Solution
In ΔLMP and ΔDEF, we have
LM = 2.7, MP = 2, LP = 3, EF = 5, DE = 4, DF = 6
`("MP")/("DE") = 2/4 = 1/2`
`("PL")/("DF") = 3/6 = 1/2`
`("LM")/("EF") = 2.7/5 = 27/50`
Here, `("MP")/("DE") = ("PL")/("DF") ≠ ("LM")/("EF")`
Hence, ΔLMP and ΔDEF are not similar.
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