Intermediate Algebra (6th Edition)

This means that the two sides are $5 \sqrt{10}$ and $15 \sqrt{10}$ cm.
Since one side is three times longer than the other, we will call one side x and the other side 3x. Using the Pythagorean theorem, we have: $$x^2+ (3x)^2=(50^2)$$ $$x = \sqrt{ \frac{50^2}{10} } = 50/ \sqrt{10}=5 \sqrt{10}$$ This means that the two sides are $5 \sqrt{10}$ and $15 \sqrt{10}$ cm.