Question

The lengths of three

sides of a triangle are
in the extended ratio
3: 6: 8. the perimeter
of the triangle is 5.1m
What are the lengths
of the sides in cm?
.

Answer 1

90 cm, 180 cm, 240 cm

Explanation:

Let the lengths of sides of the triangle be 3x, 6x and 8x

`\therefore \: 3x + 6x + 8x = 5.1 \: m \\ \therefore \: 17x = 510 \: cm \\ \therefore \: x = (510)/(17) \\ \therefore \:x = 30 \: cm \\ \implies \\ 3x = 3 * 30 = 90 \: cm \\ 6x = 6 * 30 = 180 \: cm \\ 8x = 8 * 30 = 240 \: cm`

Hence, lengths of the sides of the triangle are 90 cm, 180 cm and 240 cm.