5B Pythagorean Theorem

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5B Pythagorean Theorem
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Pythagoras

• Did you know that the Pythagorean Theorem was
  actually discovered by someone else?
• Did you know that Pythagoras founded a Secret
  Society where the members could not reveal what
  was discussed?
• Did you know that Pythagoras was a vegetarian?

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The Parts of a Right Triangle
Hypotenuse
legs
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The Hypotenuse

• Its the longest side of a right triangle.
• It faces the right angle or it is the side
  opposite the right angle.

Hypotenuse
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The Pythagorean Theorem
c
a
b
a2 b2 c2
where a and b are the legs and c is the
hypotenuse.
The square of the hypotenuse is equal to the sum
of the squares of the two legs of a right
triangle.
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Example 1
Find the missing side using the diagram below.
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Hint The missing side is the hypotenuse.
Set up your equation 72 242 c2
c 25
49 576 c2
625 c2
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Example 2
Find the missing side using the diagram below.
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Hint One of the legs is missing.
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Set up the equation 32 b2 52
9 b2 25
b 4
-9 -9
b2 16
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Find the longest side (hypotenuse) of a right
triangle with legs equal to 4 and 3 inches.
If one leg of a right triangle is equal to 8
inches and the longest side (hypotenuse) is 10
inches, find the length of the other leg.
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A cut-and-paste proof. http//ccins.camosun.bc.c
a/trushel/pythagorean/sqaure2b.htm
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Animated Pyth Proof
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Many Pyth proofs
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Pyth proof
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Secrets of Pyth
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Pythagorean Puzzle
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Animated Proof to the Pythagorean Theorem
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Squaring the Triangle 
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Pythagorean Explorer
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PythagoreanTheoremCalculator
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The Pythagorean Theorem and Ladders You're
locked out of your house and the only open window
is on the second floor, 25 feet above the ground.
You need to borrow a ladder from one of your
neighbors. There's a bush along the edge of the
house, so you'll have to place the ladder 10 feet
from the house. What length of ladder do you need
to reach the window? Give me a hint.I'm ready
to check my answer.
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The Pythagorean Theorem and BaseballYou've just
picked up a ground ball at first base, and you
see the other team's player running towards third
base. How far do you have to throw the ball to
get it from first base to third base, and throw
the runner out?
Give me a hint.I'm ready to check my answer.
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gallaxy 10 video
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Powers of 10
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JP on Thursday
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Twisty Puzzles