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The theorem is used for right triangles. It means the two smaller sides squared and added together equal the hypotenuse squared.
The three ways to use it will let you find the third side if you were given two other sides.
a2 + b2 = c2
b2 = c2 - a2
a2 = c2 - b2
If you mean practical ways to use it, then there are some examples:
1. Suppose you want to know how long of a ladder you need. The ladder would be the hypotenuse. The distance from the ladder to the wall at the floor is one of the shorter legs of the triangle, and the height of the wall is the other leg. So if you know how tall the wall is and how far you want the base of the ladder from the wall, then you can use the formula to calculate how long you need the ladder. Then you'd round up to the nearest available size.
2. Perhaps you need the height of a tower. You can measure from the base to a convenient viewing spot. Using surveying equipment, you can get the angle to the tip of the tower and then use trigonometry (tangent function if I remember right) to calculate the length of the hypotenuse. Then you'd subtract the distance of the base squared from the calculated length squared to get the height of the tower or other object.
3. You can calculate the distance you saved by cutting through a lot as opposed to going around the corner. You've always heard that a straight line is the shortest distance, and you can use the formula to find out how much. For instance, lets say the lot is 3 feet by 2 feet. That is five feet if you take the corner. If you cut through, you are taking the hypotenuse. So lets calculate that distance. A2 is 9 (3 x 3). B2 is 4 (2 x 2). That means C2 is 13. So C must be 3.61 (if you round up). It is nearly 1.39 feet shorter cutting across than going around.
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a2 + b2 = c2
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the theorem is used for right triangles. it means the two smaller sides squared and added together equal the hypotenuse squared. the three ways to use it will let you find the third side if you were given two other sides. a2 + b2 = c2 b2 = c2 - a2 a2 = c2 - b2
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