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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Are triangles in figure similar? If yes, then write the test of similarity. - Geometry Mathematics 2

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प्रश्न

Are triangles in figure similar? If yes, then write the test of similarity.

बेरीज
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उत्तर

In ΔABC and ΔPQR,

`"AB"/"PQ" = 6/3 = 2/1`     ......(i)

`"BC"/"QR" = 8/4 = 2/1`    ......(ii)

`"AC"/"PR" = 10/5 = 2/1`  ......(iii)

∴ `"AB"/"PQ" = "BC"/"QR" = "AC"/"PR"`  ......[From (i), (ii) and (iii)]

∴ ΔABC ∼ ΔPQR   ......[SSS test of similarity]

∴ The triangles in the figure are similar by SSS test of similarity.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Similarity - Q.1 (B)
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