Proof: Area of Triangle is 1/2*Base*Altitude

One of the most basic formula in high school mathematics or in College Mathematics is the proof of the area of triangle. Unfortunately this is not always motivated and students end up cramming this up without realizing its significance. It can be easily demonstrated by following two diagrams.

 Its easy to show that the area of right triangle is half the area of the rectangle, just draw the diagonal. But to show the area of triangle of any scalene triangle is not so obvious. Just draw one altitude and now you have two rectangles and the proof becomes obvious.