TIBMath

How to Solve a Magic Square This is a magic square. The objective  of a magic square is to put a number in each of the boxes. (The numbers must have an arithmetic sequence pattern.) However, there is a catch. The sum of each row,  column, and diagonal must be the same. Now try to solve it. Solution: Solving the magic square can be pretty tough, but by knowing the right strategy you can make it a lot easier. This strategy will work on any magic square with an odd number of boxes on each side. I will demonstrate this strategy with a 3 by 3 magic square. First, you must put a 1 in the top middle square. Then, put the 2 a right diagonal above the 1. However, there is no box there, so put it at the bottom of the column it is above. Then, put the 3 a right diagonal above the 2. However, there is no box there, so put it at the far left of that row. Next, try to put the 4 a right diagonal above the 3. However, that spot is already occupied, so put the 4 one box under the...

           This is a right triangle. Why is it called a right triangle you may ask? This is because of the fact that the triangle contains a right angle (in the bottom left). To find this shape's area you cannot just multiply 3 units by 4 units by 5 units, which would give you 60 cubed units(which is definitely not the answer). One reason why this is wrong is because your answer comes in "cubed units", which you only use for 3D shapes, such as a cube. You want your answer to come out in "squared units", which you use for 2D shapes, such as a square.     However, you may have noticed that by flipping the triangle over the hypotenuse (the longest side), you will make a square with side lengths of 3 units and 4 units. This is very useful information for finding the area of the triangle.     As you can see, this rectangle is made up of two right angle triangles, each with side lengths of 3 units, 4 units, and 5 units. Because the ...