SOLUTION: If the ratio of the side lengths of a triangle is 2:3:4 and the shortest side is 15 in. What is the perimeter?

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Question 825638: If the ratio of the side lengths of a triangle is 2:3:4 and the shortest side is 15 in. What is the perimeter?
Answer by math-vortex(648)   (Show Source): You can put this solution on YOUR website!
Hi, there--

THE PROBLEM:
If the ratio of the side lengths of a triangle is 2:3:4 and the shortest side is 15 in. What is the 
perimeter?

A SOLUTION:
First we find each side lengths using the ratios of one side to another. Then we add together 
the side length to get the perimeter.

Step 1: Define variables.
Let x be the shortest side.
Let y be the longest side.
Let z b the third side.

The shortest side is 15 inches, so x = 15.

The ratio of shortest side to longest side is 2 to 4. Our ratio is 



Solve for y.




The longest side is 30 inches.

The ratio of the third side to the longest side is 3 to 4. Our ratio is



Solve for z.




The third side measures 22.5 inches.

The perimeter is the sum of the side lengths, or x+y+z



The perimeter is 67.5 inches.


Hope this helps!

Mrs. Figgy
math.in.the.vortex@gmail.com

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