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A right-angle triangle is half of a square or rectangle. Draw a square or rectangle and draw a line from one corner to the corner diagonally opposite. You now have two triangles of the same area.
Draw one line vertically - splitting the square in half, and draw one line diagonally - corner to corner.
draw a straight line from one corner to its opposite corner the length of the diagonal is the length of one side times the square root of 2
On a plane surface you cannot. Assuming you mean a right angle when you say a square corner, it is not possible.
There are many different triangles that have an area of three square inches, here's one way to draw one: Draw a rectangle whose area is six square inches (or imagine what one's dimensions would be, e.g. 6x1 or 3x2) and cut it in half diagonally to make a right triangle that has an area of three square inches.