Let's illustrate the triangle with the given dimensions first.
Answer:
Constructing a triangle with the given dimensions is not possible.
Step-by-step explanation:
It is not possible because the length of the side opposite the larger angle must be greater than the length of the side opposite the smaller triangle.
However, as we can see, the side opposite the 90° angle measures 10 units which is lesser than the side opposite the 60° angle which is 12 units.