The ratio of the side lengths of a triangle is 2:3:4. The shortest side is 15inches. What is the perimeter? Explain.

Question

Using ratios to get the perimeter.

 

Answer 1

a:b:c=2:3:4

Let a be the shortest: a=15.

a:b=2:3

b=3a/2=45/2

b:c=3:4

c=4b/3=12a/6=2a=30

So,

a=15, b=22.5, c=30.