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THE PYTHAGOREAN THEOROM

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Title: THE PYTHAGOREAN THEOROM


1
THE PYTHAGOREAN THEOROM
  • Ms. Haddad
  • Mathematics
  • 8th Grade

2
What is the Pythagorean Theorem?
  • The theorem that the sum of the squares of the
    lengths of the sides of a right triangle is equal
    to the square of the length of the
    hypotenuse.(answer.com, 1)

3
What?
  • In simpler terms the Pythagorean Theorem is a
    formula that is used when trying to find a
    missing side in a right triangle.
  • The formula is a2 b2 c2

4
Review
  • In order to use the theorem you must know what a
    right triangle is.
  • A right triangle is a triangle that has an angle
    of 90.

5
How to use the Pythagorean Theorem
  • First make sure the triangle, you are dealing
    with, is a right triangle.
  • Make sure you have two side measurements of the
    triangles you are dealing with.

6
How to use the Pythagorean Theorem
  • Establish what numbers go with the variables A B
    and C in the formula
  • Plug the numbers into the formula.

7
Quick Hints
  • C in the Pythagorean Theorem is always the
    hypotenuse.
  • Review The hypotenuse is the side opposite of
    the right angle in a right triangle.
  • A and B in the Pythagorean Theorem are the two
    remaining sides. No specific side for either
    variable.

8
Practice the Basics
9
Step One
  • A6
  • B8
  • Cx
  • Step one plug the numbers into the formula.
  • 6282x2

10
Step Two
  • Step two, take the square of A and B.
  • 6236 8264
  • Now plug the numbers back into the formula.
  • 3664x2

11
Step Three
  • Step three, add A and B.
  • 3664100
  • Now plug the solution back into the formula.
  • 100x2

12
Step Four
  • Step four use a opposite operation to eliminate
    the square in x2 by taking the square root of
    the sum of A and B.
  • Square root of 10010
  • Plug the solution into the formula.
  • 10x

13
Final Step
  • The final step is to check your work. Check your
    work by plugging the answer back into the
    original formula to make sure the answer is
    correct.
  • 6282102
  • 3664100
  • 100100

14
AMAZING
  • I know your amazed by this formula.
  • I did not make it up and it does work!
  • PRACTICE PRACTICE PRACTICE

15
Assignments
  • Pg 56 1-5 due Tuesday
  • Pg 56 6-10 due Wednesday
  • Pg 56 11-15 due Thursday
  • Pg 56 16-20 due Friday

16
In Class Assignment
  • Dont worry you can start now!
  • Pg 55 16-20 due by end of class!!

17
Sources
  • Pythagorean Theorem -- From Math World
  • Pythagorean Theorem-relations and sizes
  • Pythagorean Theorem-proofs
  • Pythagorean Theorem-definition

18
Indiana Academic Standard
  • Mathematics standard for 8th standard four.
  • 8.4.
  • Indiana's Academic Standards Resources

19
In Conclusion
  • The Pythagorean Theorem is an important formula
    and needs to be memorized.
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