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The perimeter of a triangle is the summation of the three sides of the triangle. Base on the assumed values, the length of side BD is 2.

For , the sides are: AC, AD and CD

So, the perimeter is:

For , the sides are: AB, AD and BD

So, the perimeter is:

The difference in the perimeters is:

So, we have:

Open brackets

Evaluate like terms

Make BD the subject

The solution cannot be completed because the side lengths of and are not given; so, I will assume the following values.

becomes

Open bracket

Evaluate like terms

Base on the assumed values, the length of side BD is 2.

Read more about perimeters at:

yes

step-by-step explanation: