SOLUTION: The three sides of a triangle are in the ratio 2:4:5. If the shortest side of the triangle is 4 meters long, find the perimeter. [A] 17m [B] 22m [C] 32m [D] 40m

Algebra ->  Points-lines-and-rays -> SOLUTION: The three sides of a triangle are in the ratio 2:4:5. If the shortest side of the triangle is 4 meters long, find the perimeter. [A] 17m [B] 22m [C] 32m [D] 40m      Log On


   

Question 970539: The three sides of a triangle are in the ratio 2:4:5. If the shortest side of the triangle is 4 meters long, find the perimeter.
[A] 17m
[B] 22m
[C] 32m
[D] 40m
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The three sides of a triangle are in the ratio 2%3A4%3A5.
let sides be a,b, and c,then a%3Ab%3Ac=2%3A4%3A5

and let a be the shortest side
if the shortest side of the triangle is a=4m long, then a%3Ab=2%3A4
4m%3Ab=2%3A4
2b=4%2A4m
b=4%2A4m%2F2
b=2%2A4m
b=8m
a%3Ac=2%3A5
2c=5%2A4m
c=5%2A4m%2F2
c=5%2A2m
c=10m

and the perimeter will be: P=a%2Bb%2Bc=4m%2B8m%2B10m=22m
so, answer is:[B] 22m