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?

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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) About Me  (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