Question

The lengths of the sides of a triangle are in the extended ratio 3:7:8. The triangle’s perimeter is 72 in. What are the lengths of the sides?

Answer 1

This is simple. First we write the equation as:
3x+7x+8x = 72.
We now simplify terms to get:
18x=72
Divide and get
x=4.

Sadly, more work is needed. We now need to plug in the variables into the ratio
3*4=12
4*7=28
4*8=32
So the side lengths are 12 in., 28 in., and 32 in. respectively

Answer 2

Answer:

The sides of the triangle are :
24cm,28cm and 36cm

Explanation:

The ration of lengths are: 6:7:9

Let the sides be denoted as:
6x,7x and 9x

The perimeter =88cm

6x+7x+9x=88

22x=88

x = $\frac{88}{22}$

x=4

The sides can be found as follows:
6x=6×4=24cm

7x=7×4=28cm

9x=9×4=36cm