January 13 th 2010 Bring it on Pythagoras. 3 The Pythagorean Theorem A B C Given any right triangle, A 2 + B 2 = C 2.

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Presentation transcript:

January 13 th 2010 Bring it on Pythagoras

3 The Pythagorean Theorem A B C Given any right triangle, A 2 + B 2 = C 2

Example A B C In the following figure if A = 3 and B = 4, Find C. A 2 + B 2 = C = C = C 2 5 = C

Pythagorean Theorem : Examples 1.A=8, B= 15, Find C 2.A=7, B= 24, Find C 3.A=9, B= 40, Find C 4.A=10, B=24, Find C 5. A =6, B=8, Find C A B C C = 17 C = 25 C = 41 C = 26 C = 10

More Examples: 1) A=8, C =10, Find B 2) A=15, C=17, Find B 3) B =10, C=26, Find A 4) A=15, B=20, Find C 5) A =12, C=16, Find B 6) B =5, C=10, Find A 7) A =6, B =8, Find C 8) A=11, C=21, Find B A B C B = 6 B = 8 A = 24 C = 25 B = 10.6 A = 8.7 C = 10 B = 17.9

p Getting’ Started

You can verify the Pythagorean Theorem with the following: Given a piece of graph paper, make a right triangle. Then make squares of the right triangle. Then find the square’s areas.

Dance of the Pythagoreans (Determining the Hypotenuse) Pythagoras said, "I wonder How far would it be To go from here to yonder Without walking around that tree?" The square of the hypotenuse Is equal to the sum Of the squares of the other two sides Of the triangle Chorus: a squared plus b squared is c squared a squared plus b squared is c squared a squared plus b squared is c squared

Homework 1/13 p # 5 & 6