Area of Triangle ABC Using Side Lengths

In triangle ABC, we have sides of lengths a = 7, b = 10, and c = 5. The height from vertex A to side BC is h. What is the area of triangle ABC?

Recall that the area of a triangle can be calculated using the formula:

$Area = \f\frac{1}{2} \times base \times height$

In this problem, the base will be side BC and the height will be h.