For the right triangle shown, the lengths of two sides are given. Find the third side. Leave your answer in simplified, radical form.
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The Pythagorean theorem tells you
... a² + b² = c²
so
... a² = c² - b² = 16² - 9² = 256-81 = 175
... a = √175 = √(25·7)
... a = 5√7