Pythagorean Theorem

Introduction

P Y T H A G O R E A N   T H E O R E MThe Pythagorean Theorem is used in one simple equation:
a2 + b2 = c2How to find the hypotenuse of a right triangle:

  • c is the longest side of a right triangle; it is called the hypotenuse.
  • If the length of sides a and b are given, all you need to do is follow the equation in order to find the length of c.
  • First, square sides a and b
  • Next, add them together.
  • The answer that you get will be c2.
  • Square root c in order to have the correct side length.

                  How to find the missing side lengths of a or b:

  • a and b are the two shorter sides of a right triangle. They are the "legs."
  • If the length of sides c and a (or) b are given, one of the legs is the missing length to the right triangle.
  • The Pythagorean Theorem can still be used in this situation.
  • Just plug in your side lengths to the formula and square them.
  • Once the are squared, subtract the leg length to the hypotenuse length.
  • Finally, square root the result to find your missing leg length.
Task

  Here are a few problems to try out:

                               

                               

Process

                  How to solve this problem:

Step one: plug numbers into a2 + b2 = c2

Steo two: subtract your leg length squared into c2

Steo three: square root your answer:

Conclusion

You can use the pythagorean formula to find any side length of a right triangle.