Beat the Computer Drill

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Presentation transcript:

Beat the Computer Drill 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: Wouldn’t it be nice to just know this is 5? a2 + b2 = c2 3 4 x 32 + 42 = x2 9 + 16 = x2 25 = x2 5 = x

Good Pythagorean Triples to Memorize: And multiples of each, like: 3x2, 4x2, 5x2 6 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.

4 x 3

3 4 5 4 5 3

12 x 5

5 12 13 12 13 5

8 10 x

8 6 10 4 3 5 x 2 8 10 6

50 x 30

3 4 5 x 10 x 10 x 10 30 40 50 40 50 30

5 x 3

3 4 5 4 5 3

12 13 x

5 12 13 12 13 5

24 x 18

3 4 5 x 6 x 6 x 6 18 24 30 24 30 18

x 8 15

8 15 17 17 8 15

0.5 x 0.3

3 4 5 x .1 x .1 x .1 0.3 0.4 0.5 0.4 0.5 0.3

36 x 27

3 4 5 x 9 x 9 x 9 27 36 45 36 45 27

13 x 5

5 12 13 12 13 5

20 25 x

3 4 5 x 5 x 5 x 5 15 20 25 20 25 15

17 8 x

8 15 17 17 8 15

40 x 24

3 4 5 x 8 x 8 x 8 24 32 40 32 40 24

4 5 x

3 4 5 4 5 3

15 x 9

3 4 5 x 3 x 3 x 3 9 16 15 12 15 9

17 x 15

8 15 17 17 8 15

28 35 x

3 4 5 x 7 x 7 x 7 21 28 35 28 35 21

16 x 12

3 4 5 x 4 x 4 x 4 12 16 20 16 20 12

Way to Go!!