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

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


   

Question 1054130: the perimeter of a triangle is 19cm. if the length of the longest side is twice that of the shortest side and 3 cm less than the sum of the lengths of the other two sides, find the lengths of the three sides
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BB%2BC=19
.
.
C=2A
So then,
A=C%2F2
,
,
C=%28A%2BB%29-3
B=C-A%2B3
B=C-C%2F2%2B3
B=C%2F2%2B3
,
,
Substituting into the first equation,
C%2F2%2BC%2F2%2B3%2BC=19
2C%2B3=19
2C=16
C=8
So then,
A=8%2F2
A=4
and
B=8%2F2%2B3
B=7