4.4 Pythagorean Triples & Fraction Review

A Pythagorean Triple consists of three positive integers a, b, and c, such that $$a^2 + b^2 = c^2$$ . For example, (3, 4, 5) is a Pythagorean Triple.

No, because $$18^2 + 73^2 \neq 75^2$$ .

Yes, because $$10^2 + 24^2 = 26^2$$ .

The hypotenuse c can be found using the formula $$c = \sqrt{a^2 + b^2}$$ .

To add fractions with the same denominator, add the numerators and keep the denominator the same. For example, $$\frac{1}{4} + \frac{6}{4} = \frac{1+6}{4} = \frac{7}{4}$$ .

$$x = 10$$ .

$$c = 13$$ .

Square each of the three numbers.

$$c = 13$$ , since $$5^2 + 12^2 = 13^2$$ .

The LCD is 12.