THE PYTHAGOREAN THEOROM 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.

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Presentation transcript:

THE PYTHAGOREAN THEOROM

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

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

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.

leg hypotenuse Right angle The Right Triangle

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

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.

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

HW #62 page #1-6 all, even