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The length of one side of a triangle is 3 feet less than twice the length of its second side. The third side is 2/3 of the sum of the lengths of the first 3 sides. Find the length of all three sides if the perimeter is 6.5

 Sep 10, 2021
 #1
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The length of one side of a triangle is 3 feet less than twice the length of its second side. The third side is 2/3 of the sum of the lengths of the first 3 sides. Find the length of all  * two *  sides if the perimeter is 6.5

 

Sides a +b + c = 6.5

a = 2b-3

b

c = 2/3 (b + 2b-3)   

 

2b-3     +   b    +  2/3 (b   +   2b-3)     = 6.5       first solve for 'b'     then a = 2b-3         etc......

 Sep 10, 2021
 #2
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The length of one side of a triangle is 3 feet less than twice the length of its second side. The third side is 2/3 of the sum of the lengths of the first 2 sides. Find the length of all three sides if the perimeter is 6.5 feet.

 

x + (2x - 3) + 2/3(x + 2x - 3) = 6.5

 

x = 2.3

 

a = 2.3           b = 1.6            c = 2.6

 Sep 10, 2021

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