SOLUTION: In a triangle, the middle length side is 3 more than the shortest side, and the longest side is double the middle length side. The perimeter of the triangle is 45 cm. Find the l

Algebra ->  Triangles -> SOLUTION: In a triangle, the middle length side is 3 more than the shortest side, and the longest side is double the middle length side. The perimeter of the triangle is 45 cm. Find the l      Log On


   

Question 430910: In a triangle, the middle length side is 3 more than the shortest side, and the longest side is double the middle length side. The perimeter of the triangle is 45 cm.
Find the lengths of the sides.


Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

the middle length side is 3 more than the shortest side, 

and the longest side is double the middle length side.

Let x, (x+3), 2(x+3) represent the shortest, middle and longest lengths

Question states***

 x + (x+3)+ 2(x+3)= 45cm

Solving for x

     4x = 36

      x = 9cm, the shortest.  the middle length is 12cm and longest 24cm

CHECKING our Answer***

  9cm + 12cm + 24cm =  45cm