The perimeter of the ABC triangle is 24 cm, the AB side is 4 cm larger than the BC side. Find the length of the BC side if AB = 10cm.

We are given a triangle ABC, for a start we will compose the given:

P = 24 cm

AB = 10cm

The AB side is 4 cm larger than the BC side, which means AB = BC + 4

We need to find a side of BC -?

First, let’s write down the perimeter formula for this triangle:

P = AB + BC + AC

We know the numerical value of the side AB, we also know that AB is 4 cm larger than BC, from this we can find BC:

AB = BC + 4

BC = AB – 4

BC = 10 – 4

BC = 6 (cm)

Answer: side BC is 6 cm