SOLUTION: The lengths of the sides of a triangle are in the extended ratio 44 ​: 77 ​: 99. The perimeter of the triangle is 8080 cm. What are the lengths of the​ sides?

Algebra ->  Triangles -> SOLUTION: The lengths of the sides of a triangle are in the extended ratio 44 ​: 77 ​: 99. The perimeter of the triangle is 8080 cm. What are the lengths of the​ sides?      Log On


   



Question 1017707: The lengths of the sides of a triangle are in the extended ratio 44 ​: 77 ​: 99. The perimeter of the triangle is 8080 cm. What are the lengths of the​ sides?
Found 3 solutions by stanbon, Boreal, MathTherapy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The lengths of the sides of a triangle are in the extended ratio 44 ​: 77 ​: 99. The perimeter of the triangle is 8080 cm. What are the lengths of the​ sides?
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Equation::
44x + 77x + 99x = 8080
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121x + 99x = 8080
220x = 8080
x = 36.73
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44x = 1616
77x = 2828
99x = 3636
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Cheers,
Stan H.
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Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
44:77:99 add to 220
8080/220=36 8/11
36 8/11 times each side will be the answer.
44*36+32 (the 32 comes from [8/11}*4=1616 cm
77*36+56=2828 cm
99*36+72=3636 cm
The sides (in cm) are 1676:2828:3636

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

The lengths of the sides of a triangle are in the extended ratio 44 ​: 77 ​: 99. The perimeter of the triangle is 8080 cm. What are the lengths of the​ sides?
Ratio of sides: 44%3A77%3A99, or 4%3A7%3A9
Length of shortest side: %284%2F%284+%2B+7+%2B+9%29%29+%2A+matrix%281%2C1%2C%228%2C080%22%29 -------> %284%2F20%29+%2A+matrix%281%2C1%2C%228%2C080%22%29 -------> highlight_green%28matrix%281%2C1%2C%221%2C616%22%29%29
Length of middle side: %287%2F%284+%2B+7+%2B+9%29%29+%2A+matrix%281%2C1%2C%228%2C080%22%29 ---------> %287%2F20%29+%2A+matrix%281%2C1%2C%228%2C080%22%29 -------> highlight_green%28matrix%281%2C1%2C%222%2C828%22%29%29
Length of longest side: %289%2F%284+%2B+7+%2B+9%29%29+%2A+matrix%281%2C1%2C%228%2C080%22%29 --------> %289%2F20%29+%2A+matrix%281%2C1%2C%228%2C080%22%29 -------> highlight_green%28matrix%281%2C1%2C%223%2C636%22%29%29