SOLUTION: How do I answer the word problem. The perimeter of an isosceles triangle is 36 cm. The total length of the the congruent legs is 12 centimeters more than one-half the length of

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: How do I answer the word problem. The perimeter of an isosceles triangle is 36 cm. The total length of the the congruent legs is 12 centimeters more than one-half the length of      Log On


   

Question 465591: How do I answer the word problem.
The perimeter of an isosceles triangle is 36 cm. The total length of the the congruent legs is 12 centimeters more than one-half the length of the base. Find the lengths of the three sides.
How is this???
I really need help!
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Note: Perimeter is the length found by adding the lengths of all sides.

Let x represent the length of each congruent side. Note: 2x = base/2  + 12

and therefore the base is 2(2x -12) 

 Question states*** P = 36cm

 x + x + 2(2x-12) = 36

        6x = 60

         x = 10, length of each congruent side.  Base is 16.    2*(30-12)



CHECKING our Answer***

   10cm + 10cm + 16cm = 36cm