Me with all three problems this is due tommorow and i don't wanna fail this semester!

Prove the converse of the pythagorean theorem using similar triangles. the converse of the pythagorean theorem states that when the sum of the squares of the lengths of the legs of the triangle equals the squares length of the hypotenuse, the triangle is a right triangle. be sure to create and name the appropriate geometric figures.

Arectangle is 8cm longer then it is wide, and it’s area is 153cm^2. find the dimensions of the rectangle.

What is the area of a triangle with the following dimensions: base: 4 inches height: 9 inches?