Question

The lengths of the sides of a triangle are in the extended ratio 4:7:10. The perimeter of the triangle is 105 cm. What are the lengths of the sides?

The lengths of the sides of the triangle in cm are

Answer 1

20cm, 28cm, 40cm

Explanation:

Let the shortest side be 4x, the middle side be 7x and the longest side be 10x.

4x + 7x + 10x = 105

21x = 105

x = 105 ÷ 21

x = 5

Shortest side (4x) = 5 × 4

Shortest side (4x) = 20

Middle side (7x) = 7 × 4

Middle side (7x) = 28

Longest side (10x) = 10 × 4

Longest side (10x) = 40