Pythagorean Triples - Long Beach Unified School · PPT file · Web...

Becky Afghani, LBUSD Math Curriculum Office, 2004

Pythagorean Triples

Beat the Computer Drill


What are Pythagorean Triples?

• Three integers that make the equation a2 + b2 = c2 true are called Pythagorean Triples.

• The numbers 3, 4 and 5 are a very famous Pythagorean Triple.

a2 + b2 = c2

32 + 42 = 52

9 + 16 = 25


Why Memorize Pythagorean Triples?

• Remember how much time it took to figure out 8 x 8 before you memorized it? (8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = 64)

• Think of all the work involved to solve this problem:

a2 + b2 = c2

32 + 42 = x2

9 + 16 = x2

25 = x2

5 = x

Wouldn’t it be nice

to just know this is 5?


Good Pythagorean Triples to Memorize:

And multiples of each, like:3x2, 4x2, 5x26 8 10


Directions:• The following slides show common

Pythagorean Triples. It is faster to recognize these triples on sight than to apply the Pythagorean Theorem.

• When the right triangle appears, SAY ALOUD the length of the missing side. Try to beat the computer by saying the answer BEFORE it appears in 8 seconds.


x 2 x 2 x 2


x 10 x 10 x 10


x 6 x 6 x 6


x .1 x .1 x .1


x 9 x 9 x 9


x 5 x 5 x 5


x 8 x 8 x 8


x 3 x 3 x 3


x 7 x 7 x 7


x 4 x 4 x 4


Way to Go!!

Pythagorean Triples - Long Beach Unified School · PPT file · Web...

Documents

Transcript of Pythagorean Triples - Long Beach Unified School · PPT file · Web...