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One side of a triangle is one-third the longest side. The third side is 13 feet less than the longest side. The perimeter is 85. Find all three sides.

 Jun 15, 2022
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Let the longest side =  L

 

So   one side = (1/3)L   and the other =   L -13

 

So

 

L + (1/3)L + L  -13   = 85

 

(2 + 1/3)L  =  85 + 13

 

(7/3)L  =  98

 

L  = 98 ( 3/7)  =   (98 / 7) * 3  =  14* 3  =  42

 

(1/3)L =  14

 

L = 13 =   29

 

 

cool cool cool

 Jun 15, 2022

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