In triangle ABC, one of the trisector of angle A is a median, and the other is an altitude. If BC = 24, what is the area of triangle ABC?
1. I've drawn a sketch (see attachment)
2. is an isosceles triangle and therefore the height h bisects half of .
3. In the right triangle you know about the angle :
4. According to the question .
In the right triangle you know:
5. Since you'll get:
Solve for h and subsequently calculate the area of the triangle
Spoiler: