The perimeters of two similar triangles ABC and PQR are 56 cm and 48 cm respectively. PQ/AB is equal to

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Solution

Q.
The perimeters of two similar triangles ABC and PQR are 56 cm and 48 cm respectively. PQ/AB is equal to

1 7/8

2 6/7

3 7/6

4 8/7

Ans.
(2)

The ratio of the corresponding sides of similar triangles is same as the ratio of their perimeter

$∴$ $∆ A B C ~ ∆ P Q R or ∆ P Q R ~ ∆ A B C$

$\Rightarrow \frac{P Q}{A B} = \frac{Q R}{B C} = \frac{P R}{A C} = \frac{48}{56} \Rightarrow \frac{P Q}{A B} = \frac{6}{7}$

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