SOLUTION: In a triangle, the shortest side is 3 meters less than the longest side. The length of the third side is 11 meters less than twice the length of the longest side. If the perimeter

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Question 1205954: In a triangle, the shortest side is 3 meters less than the longest side. The length of the third side is 11 meters less than twice the length of the longest side. If the perimeter is 22 meters, find the lengths of the three sides of the triangle.
Found 3 solutions by josgarithmetic, MathLover1, Edwin McCravy:
Answer by josgarithmetic(39614)   (Show Source): You can put this solution on YOUR website!
SHORT                 g-3
LONG                  g
THIRD                 2g-11
PERIMETER            22






The sides length are then
Short, 6
Long, 9
the third side, 7.
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!


let the shortest side be , the longest side , and the third side
if the shortest side is meters less than the longest side we have
....eq.1

if the length of the third side is meters less than the length of the longest side, we have
....eq.2

If the perimeter is meters, we have
....eq.3

substitute and
....eq.3, solve for






go to
....eq.1, substitute



go to
....eq.2, substitute



the lengths of the three sides of the triangle are: , , and

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
In a triangle, the shortest side is 3 meters less than the longest side. 

(a) 

The length of the third (medium) side is 11 meters less than twice the length 
of the longest side.

(b) 

 If the perimeter is 22 meters, 

(c) 

Substitute (a) and (b) in (c)











Substitute in (a)





Substitute in (b)











Edwin
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