SOLUTION: One side of a triangular banner is 1.5 times longer than the second side and 2cm shorter that the third side. The perimeter of the triangle is 98 cm. How long is the shortest side?

Question 374812: One side of a triangular banner is 1.5 times longer than the second side and 2cm shorter that the third side. The perimeter of the triangle is 98 cm. How long is the shortest side?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!



Hi,

Let x represent the length of shortest second side.  

First side would be 1.5x. Third side (1.5x+2cm)

Perimeter is the SUM of all sides.

Question states

x + 1.5x + (1.5x+2cm) = 98cm

4x + 2 = 98cm

4x = 96cm

x = 24cm the length of the second side or shortest side

sides of the Triangle are 24cm, 36cm  (1.5*24) and 38cm  (36cm + 2cm)

CHECKING our Answer

24cm + 36cm + 38cm = 98cm  

RELATED QUESTIONS

One side of a triangular banner is 1.5 times longer than the second side and 2 cm shorter  (answered by ewatrrr)
One side of a triangle banner is 1 1/2 times longer than the second side and 2cm shorer... (answered by Alan3354,greenestamps)
The second side of a triangular deck is 5 feet longer than the shorter side and a third... (answered by macston)
The perimeter of a triangle is 78cm. The 1st side is 5cm longer than the 2nd side and the  (answered by JulietG)
Please, help! Thanks 

A triangular-shaped deck has one side that is 6 feet longer than  (answered by josgarithmetic)
The second side of a triangular deck is 5 feet longer than the shortest side and a third... (answered by macston)
The first side of a triangle is 40cm shorter than twice the second. The third side is 2cm  (answered by psbhowmick)
This problem is actually for ALG 1 but I can't remember how to complete it? Please help?!  (answered by lwsshak3)
The second side of a triangular deck is 6 feet longer than the shortest side and a third... (answered by Cromlix)