# What will be the Corresponding Side of Triangle? If

The perimeters of two similar triangles are 30 cm and 20 cm respectively. If one side of the first triangle is 9 cm. Determine the corresponding side of the second triangle:

- 15 cm
- 5 cm
- 6 cm
- 13.5 cm

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**Answer: (3) 6 cm**

**Explanation:-
**

In Triangle ABC and triangle PQR.

AB/PQ = BC/QR = AC/PR = K (constant) …………… (1)

Then,

AB = kPQ, BC = kQR and AC = kPR.

Therefore,

AB + BC + AC = k (QP + QR + RP)

30 = 20 k

k = 30/20

k = 3/2

From equation (1).

AB/PQ = 3/2

9/PQ = 3/2

PQ = 9 x 2 /3

PQ = 6

Hence, the answer is (3) 6 cm.