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.