2. THE PYTHAGOREAN THEOROM

3. Pythagorean Theorem  What is it and how does it work?  a 2 + b 2 = c 2  What is it and how does it work?  a 2 + b 2 = c 2

4. What is the Pythagorean Theorem?  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  a 2 + b 2 = c 2  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  a 2 + b 2 = c 2

5. 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.  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.

6. leg hypotenuse Right angle The Right Triangle

7. Rules 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.  Solve the equation as usual  Establish what numbers go with the variables A B and C in the formula  Plug the numbers into the formula.  Solve the equation as usual

8. 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.  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.

9. 3. Put that number of squares on the hypotenuse Area = 16 x

10. HW #62 page 543-544 #1-6 all, 10-26 even