something noteworthy about running a line from a 90° angle in a right-triangle perpendicular to the base is that, it ends up forming 3 similar triangles, two small ones and the containing, Check the picture below.
well, we now know what "a" is, and since "a" is the altitude or height of the triangle, well
[tex]A=\cfrac{1}{2}(\stackrel{b}{74})(\stackrel{h}{35})\implies A=37\cdot 35\implies A=1295[/tex]
