The lengths of the sides of a triangle are in the extended ratio 6 : 7 : 10. The perimeter of the triangle is 115 cm. What are the lengths of the sides?

30 cm, 35 cm and 50 cm

Step-by-step explanation:

Sum the parts of the ratio, 6 + 7 + 10 = 23 parts

Divide the perimeter by 23 to find the value of one part of the ratio.

115 cm : 23 = 5 cm ← value of 1 part of the ratio

Thus the lengths of the sides are

6 * 5 cm = 30 cm

7 * 5 cm = 35 cm

10 * 5 cm = 50 cm

(30 + 35 + 50 = 115)