SOLUTION: I have a triangle with an 18 inch perimeter, and one 8 inch side. What are the lengths of the remaining two sides if their ratio is 2:3?

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Question 708292: I have a triangle with an 18 inch perimeter, and one 8 inch side. What are the lengths of the remaining two sides if their ratio is 2:3?
Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
You could draw and label a triangle, one side is 8, other sides are x and y. and since x/y is 2/3, you can also make the equations:

Perimeter given as 18, so 8%2Bx%2By=18,
and since ratio of the two other sides to each other, x/y=2/3, gives you+x=2y%2F3.

Substitute that last formula for x into the perimeter equation, and solve for y; then calculate for x. You could choose other ways to solve for x and y, but that one may be simplest.

If done as I suggested, findy=10%2A%283%2F5%29=6. y=6.
x=2%2A%286%29%2F3=...?...