Final answer:
An isosceles triangle can be formed with sides (8,4,4), but a triangle cannot be formed with sides (5,9,4).
Step-by-step explanation:
Yes, it is possible to draw a triangle with the sides (8,4,4). In this case, the triangle would be an isosceles triangle because it has two sides of equal length (4) and a third side of different length (8). An isosceles triangle has two congruent angles as well.
No, it is not possible to draw a triangle with the sides (5,9,4). In order for a triangle to be formed, the sum of the lengths of any two sides must be greater than the length of the third side. However, in this case, 5 + 4 = 9, which means the sum of the two smaller sides is equal to the length of the largest side. Therefore, a triangle cannot be formed.