The sides of ΔABC are 6 cm, 8 cm and 10 cm. Find the sides of the larger triangle which is similar to ΔABC if the ratio of corresponding sides is 2.
A
3 cm, 4 cm and 5 cm
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B
12 cm, 16 cm and 20 cm
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C
12 cm, 5 cm and 13 cm
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D
None of these
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Solution
The correct option is B 12 cm, 16 cm and 20 cm Let’s assume the triangle similar to ΔABC to be ΔXYZ. The ratio of corresponding sides is 2. So, XYAB=YZBC=XZAC=2(Since it is asked for larger triangle) ⇒XY6=YZ8=XZ10=2 ⇒ XY = 12 cm, YZ = 16 cm and XZ = 20 cm.