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?

1 Answer
Apr 30, 2015

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#.