- 1). Consider the basic Pythagorean triple, which consists of the lowest set of numbers: 3, 4 and 5.
- 2). Multiply a common factor times each of these lowest numbers. For instance, multiply 3, 4, and 5 by the number 2 to get 6, 8 and 10.
- 3). Check the new numbers to see if the results satisfy the formula "a2 + b2 = c2." Begin by squaring the first integer:
6 x 6 = 36 - 4). Square the second integer:
8 x 8 = 64 - 5). Square the third integer:
10 x 10 = 100 - 6). Check to see if the products from steps 3 and 4 equal the product in step 5:
36 + 64 = 100
Therefore, you can be sure that 6, 8 and 10 are Pythagorean triples.
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