SOLUTION: The perimeter of a triangle with 2 equal sides is 46 cm. If its base were lengthened by 4 cm and each leg were shortened by 7 cm, all 3 sides would be equal. Find the length of the

Algebra ->  Graphs -> SOLUTION: The perimeter of a triangle with 2 equal sides is 46 cm. If its base were lengthened by 4 cm and each leg were shortened by 7 cm, all 3 sides would be equal. Find the length of the      Log On


   

Question 624717: The perimeter of a triangle with 2 equal sides is 46 cm. If its base were lengthened by 4 cm and each leg were shortened by 7 cm, all 3 sides would be equal. Find the length of the base of the original triangle.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

The perimeter of a triangle with 2 equal sides is 46 cm. 

If its base were lengthened by 4 cm and each leg were shortened by 7 cm, all 3 sides would be equal.

Let b and s represent the length of the base and each side respectively. 

Question states***

  b + 4 = s - 7    or  s = (b + 11)

  b + 2s = 46cm

  b + 2(b+11) = 46

     3b = 24

      b = 8

and..

CHECKING our Answer***  s = 19

  8+%2B+2%2A19+=+46