SOLUTION: the perimeter of a triangle is 19 cm. if the length of the longest side is twice that of the shortest side and 3cm less than the sum of the lengths of the other two sides, find the

Algebra ->  Triangles -> SOLUTION: the perimeter of a triangle is 19 cm. if the length of the longest side is twice that of the shortest side and 3cm less than the sum of the lengths of the other two sides, find the      Log On


   

Question 1052410: the perimeter of a triangle is 19 cm. if the length of the longest side is twice that of the shortest side and 3cm less than the sum of the lengths of the other two sides, find the length of the three sides
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
"perimeter of a triangle is 19 cm"
A%2BB%2BC=19
.
.
"longest side is twice that of the shortest side"
C=2A
.
.
"longest side is 3cm less than the sum of the lengths of the other two sides,
C=%28A%2BB%29-3
A%2BB=C%2B3
Substitute into the first equation,
%28C%2B3%29%2BC=19
2C=16
C=8 cm
So then from the second,
8=2A
A=4cm
and from the first,
4%2BB%2B8=19
B=7cm