Q24 of 186 Page 258

In triangles BMP and CNR it is given that PB = 5 cm, MP = 6 cm, BM = 9 cm and NR = 9 cm. If ΔBMP ~ ΔCNR then find the perimeter of ΔCNR.

Given: PB = 5 cm,


MP = 6 cm,


BM = 9 cm and,


NR = 9 cm


Now, it is also given that: ΔBMP ~ ΔCNR


When two triangles are similar, then the ratios of the lengths of their corresponding sides are proportional.


⇒ …(i)


⇒


⇒


⇒


⇒ CN = 54/6 = 13.5 cm.


Similarly,


⇒


⇒


⇒


⇒ CR = 7.5 cm


∴ Perimeter of ΔCNR = CN + NR+ CR = 13.5+9+7.5=30 cm


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