unit 1.5  The Pythagorean theorem
what do we need to know?
 Types of triangles: Isosceles, Equilateral, Right Triangle
 A right angle is equal to 90 degrees
 A right triangle has a right angle
 Area of a triangle = (Base x Height)/2
 Perfect square numbers
 Square roots
 A right angle is equal to 90 degrees
 A right triangle has a right angle
 Area of a triangle = (Base x Height)/2
 Perfect square numbers
 Square roots
Class notes
8_unit_1.5_notes_filled_up.pdf  
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Quick review of triangles
Right triangles and hypotenuse
A RIGHT TRIANGLE has a right angle (an angle of 90 degrees). In the picture of a right triangle that follows, you may notice that the sides that make the right angle are called LEGS, and the side directly in front of the right angle is called the HYPOTENUSE:
The HYPOTENUSE:
 is ALWAYS across from the right angle
 is ALWAYS the LONGEST leg in a triangle
 For our purposes, the hypotenuse is represented by the letter c.
 is ALWAYS across from the right angle
 is ALWAYS the LONGEST leg in a triangle
 For our purposes, the hypotenuse is represented by the letter c.
what is the Pythagorean theorem?
Look at this animated proof:
The theorem, then, says that:
Look at this example:
From the relationships above, the following formulas (which you will be using) can be derived:
these are the corrections necessary for worksheets 10 and 11. Please make sure you do all changes
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