Question

The length of AC is 4cm more than three times the length of BC. The length of AB is 1 cm less than the length of AC. Find the length of the three sides of △ABC
AC =
AB =
BC =
please answer in cm

Answer 1

Answer:

Step-by-step explanation:

The shortest length is 7 cm.

Step-by-step explanation:

BC = 2 AB - 3  ----(1)

AC = AB + 9 ----(2)

AC + BC + AB = 34  ----(3)

Putting value of BC and AC in equation (3).

2AB - 3 + AB + 9 + AB = 34

4 AB + 6 = 344 AB =  34 - 6

AB  = 28 / 4 = 7 cm

Putting value of AB in equation (1) and (2)

BC = 2 (7) - 3      AC = 7 + 9

BC = 14 - 3          AC = 16

BC = 11                AC = 16

Hence the shortest length is 7 cm.

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