Before you can find the area of any geometrical figure, recall what you are finding when you solve for the area. The area is the surface of a 2dimensional shape. When trying to find the area of a right triangle, the easiest way is to first double the triangle so that it resembles a square. This is particularly important if you don't know the length of the hypotenuse. Using the knowledge that the area of a square is the length multiplied by the height, calculate the area of the square you created. Once you have the area of the square, divide that by two to find the area of your original triangle.
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