a triangular sail has a perimeter of 25 m. side a is 2 m shorter than twice side b, and side c is 3 m longer than side b. find the length of each side.

Question

anonymous · Answer

P=25
a+b+c=25

a=2b-2,  c=b+3

(2b-2) + (b) + (b+3) = 25
2b -2 + b + b + 3 = 25
4b = 24
b = 6

a = 2b-2                             c = b + 3
a = 2(6) - 2                         c = 6 + 3
a = 10                                 c = 9

Check:  a + b + c = 25
            10 + 6 + 9 ?= 25, yes this is true