One side 3

One side of a triangular banner is 1 1/2 times longer than the second side and 2cm shorter than the third side. The perimeter of the triangle is 98cm. How long is the shortest side?

Correct answer:

b =  24 cm

Step-by-step explanation:

r=121=1+21=21 2+1=22+1=23=1.5 o=98 cm  a=r b a=c2 a+b+c=o  b<a; b<c  r b+b+(r b+2)=o 1.5 b+b+(1.5 b+2)=98  4b=96  b=496=24=24 cm  b=24   Verifying Solution:  a=r b=23 24=23 24=272=36 cm c=a+2=36+2=38 cm

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