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Maharashtra State BoardSSC (English Medium) 9th Standard

If ΔXYZ ~ ΔLMN, write the corresponding angles of the two triangles and also write the ratios of corresponding sides. - Geometry

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Question

If ΔXYZ ~ ΔLMN, write the corresponding angles of the two triangles and also write the ratios of corresponding sides.

Sum

Solution

Consider, ΔXYZ ∼ ΔLMN

∴ ∠X ≅ ∠L, ∠Y ≅ ∠M and ∠Z ≅ ∠N     ...(Corresponding angles of similar triangles)

∴ `("XY")/("LM") =("YZ")/("MN") = ("XZ")/("LN") `     ...(Corresponding sides of similar triangle)

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Chapter 3: Triangles - Practice Set 3.5 [Page 47]

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