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.

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

9, since $$9^2 = 81$$ .

3 $$\frac{1}{4}$$ .

$$\frac{7}{4}$$ .

$$\frac{4}{5}$$ .

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as $$\frac{5}{3}$$ .

The formula is $$c = \sqrt{a^2 + b^2}$$ .

8, since $$8^2 = 64$$ .

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.