CK-12 Trigonometry by CK-12 Foundation

Author:CK-12 Foundation
Language: eng
Format: epub, mobi

Before we explore any further, let’s substitute the formulas for and into the Pythagorean Theorem to determine if they satisfy the theorem.

Both sides of the equation are equal which tells us that the formulas satisfy the Pythagorean Theorem. Therefore, the formulas can be used to generate Pythagorean triples.

Example 1:

If two positive integers and are given such that and generate a Pythagorean triple for these integers.

Solution:

The Pythagoren triple is .

Check the values of and using the Pythagorean Theorem.

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