Question

A triangle has a perimeter of 18 inches. If one side has length 8 inches, find the length of the shortest side if the other lengths are in the ratio of 2 units : 3 units.

Answer 1

`a,b,c-\ sides\ of\ triangle\\\\a+b+c=18\ inches\\\\a=8inch\\\\(b)/(c)=(2)/(3)\\\\3b=2c\ \ --->b=(2c)/(3)\\\\8+(2c)/(3)+c=18\ |*3\\\\24+2c+3c=54\\\\5c=54-24\\\\5c=30\\\\c=(30)/(5)=6\\\\Length\ of\ shorter\ side\ is\ equal\ to\ 6\ inches.`