SOLUTION: This is more of a word problem but I am stuck on how to figure it out. Thanks in advance! The shortest side of an isosceles triangle is 19 cm less than twice as long as the othe

Algebra ->  Triangles -> SOLUTION: This is more of a word problem but I am stuck on how to figure it out. Thanks in advance! The shortest side of an isosceles triangle is 19 cm less than twice as long as the othe      Log On


   



Question 939786: This is more of a word problem but I am stuck on how to figure it out. Thanks in advance!
The shortest side of an isosceles triangle is 19 cm less than twice as long as the other sides. The perimeter of the triangle is 49 cm. Find the lengths of the three sides.

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
highlight%2815cm%29 , highlight%2817cm%29 , and highlight%2817cm%29 ,
x= the length (in cm) of the two congruent sides (the "other sides").
2x-19= the length (in cm) of the shortest side (which is "19 cm less than twice as long as the other sides").
The perimeter (in cm) is
%282x-19%29%2Bx%2Bx=49
Solving for x:
%282x-19%29%2Bx%2Bx=49
2x-19%2Bx%2Bx=49
4x-19=49
4x=49%2B19
4x=68
x=68%2F4
highlight%28x=17%29
Then, 2x-19=2%2A17-19-->2x-19=34-19highlight%282x-19=15%29