Question

The perimeter of a triangle is 60 cm. and the lengths of the sides are in the ratio of 4:5:6. How do you find the length of each side?

Answer 1

If we name the three sides as `a,b,c`, than the proportion says:

`a:4=b:5=c:6`.

Using the property of the proportions (that is using before the compound and than the invertion of terms):

`a:b=c:drArr(a+c):(b+d)=a:b` `(or c:d)`,

than:

`(a+b+c):(4+5+6)=a:4rArr`

`60:15=a:4rArra=(60*4)/15=16`

or:

`60:15=b:5rArrb=(60*5)/15=20`

or:

`60:15=c:6rArrc=(60*6)/15=24`.