• 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
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:
a2 + b2 = c2
32 + 42 = x2
9 + 16 = x2
25 = x2
5 = x
Wouldn’t it be nice
to just know this is 5?
Becky Afghani, LBUSD Math Curriculum Office, 2004
Good Pythagorean Triples to Memorize:
And multiples of each, like:3x2, 4x2, 5x2
6 8 10
Becky Afghani, LBUSD Math Curriculum Office, 2004
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.