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#