1.

So...


2.
In right triangles, the formula I used in number 1 can be used to determine if a triangle is a right triangle.

If this is true, the triangle is a right triangle.

No, 49+81=130, so the triangle is not a right triangle..
For number 3, use the Pythagorean theorem to find side NP so we can calculate the area.



Can you calculate the area now?
I hope this helps clear things up. If you still need assistance, leave a comment. :)