CHAPTER 8: RIGHT TRIANGLES

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CHAPTER 8RIGHT TRIANGLES

• 8.2
• THE PYTHAGOREAN THEOREM

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PYTHAGORAS

• Pythagoras was an ancient
• Greek mathematician and
• philosopher.
• He invented the Pythagorean
• Theorem, one of the best
• known theorems in all of math.

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THEOREM 8-2

• THEOREM 8-2 The Pythagorean Theorem
• In a right triangle, the square of the hypotenuse
  is equal to the sum of the squares of the legs.
• a² b² c²

c
c
c
a
a
b
b
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PYTHAGOREAN THEOREM

• When using the
• Pythagorean Theorem,
• be sure to let a and b
• represent the lengths
• of the legs of the right
• triangle while c represents the length of the
  hypotenuse.
• Note It does not matter which leg you
  identify as a or b, but c must be the hypotenuse.

c
a
b
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EXAMPLEFind Y

•  

y
5
10
y - 1
5
y
6
PRACTICEFind the value of each variable

•  

x
2
3
4
y
6
4
x
x
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CLASSWORK/HOMEWORK

• 8.2 Assignment
• Pg. 291, Classroom Exercises 2-18 even
• Pg. 292, Written Exercises 2-32 every other even.