# The lengths of the sides of a triangle are in the extended ratio 6:7:9, the perimeter of the triangle is 88 cm, what are the lengths of the sides?

Mar 21, 2016

The sides of the triangle are :
$24 c m , 28 c m$ and $36 c m$

#### Explanation:

The ration of lengths are: $6 : 7 : 9$

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

The perimeter $= 88 c m$

$6 x + 7 x + 9 x = 88$

$22 x = 88$

$x = \frac{88}{22}$

$x = 4$

The sides can be found as follows:
$6 x = 6 \times 4 = 24 c m$

$7 x = 7 \times 4 = 28 c m$

$9 x = 9 \times 4 = 36 c m$