2 a Prove that in a triangle there can be at most one obtuse

2. (a) Prove that in a triangle, there can be at most one obtuse angle. (b) Prove that if both ZB and 2C are acute, then the altitude from A to Lgc intersects

Solution

a) A triangle can\'t have more than one obtuse angle because all the angles have to add up to 180 degrees. More than one obtuse angle would be more than 180 degrees. There would not be enough room for another angle.