Calculate BC Length in Right Triangle: Area = 7, Side = 2

To solve this problem, let's apply the formula for the area of a triangle:

The area $A$ of a right triangle can be expressed as

$A = \frac{1}{2} \times \text{base} \times \text{height}$

Let's denote side BC (the base) as $b$ and the given height AB as 2. Substituting in the known values, we have:

$7 = \frac{1}{2} \times b \times 2$

Simplifying the right side gives us:

$7 = b$

Therefore, the length of side BC is 7 units.