SOLUTION: The perimeter of this triangle is 168 cm. The length of the longest side is twice that of the shortest side. The sum of the lengths of the shortest side and the longest side is 48

Question 982473: The perimeter of this triangle is 168 cm. The length of the longest side is twice that of the shortest side. The sum of the lengths of the shortest side and the longest side is 48 cm more than the length of side b. Find the length of each side.

Found 2 solutions by solver91311, mananth:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let represent the short side. Then represents the long side, and is the third side. The perimeter is the sum of the three sides, so:

Solve for and then calculate and

John

My calculator said it, I believe it, that settles it

Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
The perimeter of this triangle is 168 cm. The length of the longest side is twice that of the shortest side. The sum of the lengths of the shortest side and the longest side is 48 cm more than the length of side b. Find the length of each side.

The perimeter of this triangle is 168 cm.
a+b+c=168

The length of the longest side is twice that of the shortest side.
a=2c
The sum of the lengths of the shortest side and the longest side is 48 cm more than the length of side b.
a+c =b+48
a+b+c=168
substitute a+c
2b+48+=168
2b=120
b=60
a+b+c=168
a=2c
2c+60+c=168
3c=108
c= 36
a=2c
a= 72
72, 60,36

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