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?

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Answer 1 · 2016-03-21T17:18:17

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

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

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

The perimeter $=88 cm$

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

$22x = 88$

$x = 88 /22$

$x = 4$

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

$7x = 7 xx 4= 28 cm$

$9x = 9 xx 4 = 36 cm$