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