In a right angled triangle there are sides a, b, and c at 500, 538.52, and 200 units respectively. The angle opposite of c, the 200 unit side is 10.7 degrees.
So using the rule in which the area of the triangle is 1/2absinC, the area of the triangle should be...
0.5*500*528.52*sin10.7
but that gives a result of 24996, which is the wrong answer because if we simply find the area using (200*500)/2 we get 50000.
Please explain.
Note that $$\arctan \frac{200}{500}=21.8°$$
thus the area is given by
$$A\approx \frac12\cdot500\cdot 538.52\cdot\sin 21.8°$$