Answer:
The lengths of the triangle are 15 cm, 24 cm and 30 cm.
Step-by-step explanation:
The side lengths of a triangle are in the extended ratio 5 : 8 : 10.
Let the side lengths of the triangle are 5x, 8x and 10x.
Now, the perimeter of the triangle is given to be 69 cm.
So, 5x + 8x + 10x = 69
⇒ 23x = 69
⇒ x = 3
So, the lengths of the triangle are 5x = 5 × 3 = 15 cm, 8x = 8 × 3 = 24 cm and 10x = 10 × 3 = 30 cm. (Answer)
