Question

The lengths of the sides of a triangle are in the extended ratio 4 : 7 : 10. The perimeter is 42 cm. What are the length of the sides?

A
8 cm, 14 cm, 20 cm

B
4 cm, 7 cm, 10 cm

C
12 cm, 14 cm, 16 cm

D
6cm, 14 cm, 22 cm

Answer 1

To find the lengths of the sides, we first need to determine the constant factor that relates the ratio to the actual lengths.

The extended ratio is 4:7:10, and the sum of the parts in the ratio is 4+7+10 = 21.
If the perimeter of the triangle is 42 cm, then each part in the ratio corresponds to 42/21 = 2 cm.

Therefore, the lengths of the sides of the triangle are:
4 x 2 = 8 cm
7 x 2 = 14 cm
10 x 2 = 20 cm

So the correct answer is A, 8 cm, 14 cm, 20 cm.