Question

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

Answer 1

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.