SOLUTION: The lengths of the sides of a triangle from Geomatric Progression.If the shortest side is 9 cm and the perimeter is 37 cm.Find the length of the other two sides

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Question 823463: The lengths of the sides of a triangle from Geomatric Progression.If the shortest side is 9 cm and the perimeter is 37 cm.Find the length of the other two sides
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The sides are 9, 9*r, and 9*r^2.
9%2B9r%2B9r%5E2=37
'
9r%2B9r%5E2=28
9r%5E2%2B9r-28=0
r=%28-9%2Bsqrt%2881-4%289%29%28-28%29%29%29%2F%282%2A9%29 to use the PLUS square root.
r=%28-9%2Bsqrt%281089%29%29%2F%282%2A9%29
r=%28-9%2B33%29%2F18
r=24%2F18=12%2F9=highlight_green%284%2F3%29, the ratio for the geometric sequence of sides.

The other two side lengths are 9(4/3) and 9(16/9);
or
12 and 16.