# Pythagorean Triples - Long Beach Unified School District

Pythagorea n Triples Beat the Computer Drill Becky Afghani, LBUSD Math Curriculum Office, 2004

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. a 2 + b2 = c2

32 + 4 2 = 5 2 9 + 16 = 25 Becky Afghani, LBUSD Math Curriculum Office, 2004 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: Wouldnt it be nice to just know

this is 5? a2 + b2 = c2 32 + 42 = x2 9 + 16 = x2

25 = x2 5=x Becky Afghani, LBUSD Math Curriculum Office, 2004

Good Pythagorean Triples to Memorize: And multiples

of each, like: 3x2, 4x2, 5x2 6

Becky Afghani, LBUSD Math Curriculum Office, 2004 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. Becky Afghani, LBUSD Math Curriculum Office, 2004

Becky Afghani, LBUSD Math Curriculum Office, 2004 Becky Afghani, LBUSD Math Curriculum Office, 2004

Becky Afghani, LBUSD Math Curriculum Office, 2004 Becky Afghani, LBUSD Math Curriculum Office, 2004 Becky Afghani, LBUSD Math Curriculum Office, 2004

x2 Becky Afghani, LBUSD Math Curriculum Office, 2004

x2 x2 Becky Afghani, LBUSD Math Curriculum Office, 2004

x 10 Becky Afghani, LBUSD Math Curriculum Office, 2004

x 10 x 10 Becky Afghani, LBUSD Math Curriculum Office, 2004

Becky Afghani, LBUSD Math Curriculum Office, 2004 Becky Afghani, LBUSD Math Curriculum Office, 2004

Becky Afghani, LBUSD Math Curriculum Office, 2004 Becky Afghani, LBUSD Math Curriculum Office, 2004 x6

Becky Afghani, LBUSD Math Curriculum Office, 2004 x6

x6 Becky Afghani, LBUSD Math Curriculum Office, 2004 Becky Afghani, LBUSD Math Curriculum Office, 2004

Becky Afghani, LBUSD Math Curriculum Office, 2004 x .1

Becky Afghani, LBUSD Math Curriculum Office, 2004 x .1 x .1

Becky Afghani, LBUSD Math Curriculum Office, 2004 x9

Becky Afghani, LBUSD Math Curriculum Office, 2004 x9 x9

Becky Afghani, LBUSD Math Curriculum Office, 2004 Becky Afghani, LBUSD Math Curriculum Office, 2004

Becky Afghani, LBUSD Math Curriculum Office, 2004 x5 Becky Afghani, LBUSD Math Curriculum Office, 2004

x5 x5

Becky Afghani, LBUSD Math Curriculum Office, 2004 Becky Afghani, LBUSD Math Curriculum Office, 2004 Becky Afghani, LBUSD Math Curriculum Office, 2004

x8 Becky Afghani, LBUSD Math Curriculum Office, 2004

x8 x8 Becky Afghani, LBUSD Math Curriculum Office, 2004

Becky Afghani, LBUSD Math Curriculum Office, 2004 Becky Afghani, LBUSD Math Curriculum Office, 2004

x3 Becky Afghani, LBUSD Math Curriculum Office, 2004 x3

x3 Becky Afghani, LBUSD Math Curriculum Office, 2004

Becky Afghani, LBUSD Math Curriculum Office, 2004 Becky Afghani, LBUSD Math Curriculum Office, 2004 x7

Becky Afghani, LBUSD Math Curriculum Office, 2004 x7

x7 Becky Afghani, LBUSD Math Curriculum Office, 2004 x4

Becky Afghani, LBUSD Math Curriculum Office, 2004 x4

x4 a W

G o t y

! ! o Becky Afghani, LBUSD Math Curriculum Office, 2004

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