Question

The perimeter of a triangle is 26 centimeters. Side *a* of the triangle is 3 centimeters longer than side *b.* Side *c* is 1 centimeter shorter than twice side *b.* find the length of each side. (Show work)

Answer 1

a+b+c=26
a=b+3
c=2b-1

b+3+b+2b-1=26
4b=24
b=6 cm
a=6+3=9cm
c=2*6-1=11 cm

side *a* is 9 cm
side *b* is 6 cm
side *c* is 11 cm