Answer:
(A, B, C) = (8, 17, 23) inches
Step-by-step explanation:
We can let A, B, and C represent the corresponding side lengths. Then we are given ...
A + B + C = 48 . . . . . . the perimeter is 48 inches
B = A + 9 . . . . . . . . . . . B is 9 inches longer than A
C = 2A +7 . . . . . . . . . . the base (remaining side) is 7 inches more than ...
Substituting for B and C in the first equation, we have ...
A + (A+9) +(2A+7) = 48
4A = 32 . . . . . . . . . . . . . . collect terms, subtract 16
A = 8
B = A+9 = 17
C = 2A +7 = 23
Side A is 8 inches, side B is 17 inches, and side C is 23 inches.
