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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