Answer:
Answer: C) \(m=6\), \(n=3\sqrt{2}\).
Explanation: Step 1: Use the trigonometric function \(\tan 45^\circ\) to find the missing side length \(n\). Since \(\tan 45^\circ = \frac{3\sqrt{2}}{n}\), we can solve for \(n\) to get \
Step-by-step explanation:
\(m=6\), \(n=3\sqrt{2}\).
Explanation: Step 1: Use the trigonometric function \(\tan 45^\circ\) to find the missing side length \(n\). Since \(\tan 45^\circ = \frac{3\sqrt{2}}{n}\), we can solve for \(n\) to get \(n = 3\sqrt{2}\).
Step 2: Use the Pythagorean theorem to find the missing side length \(m\). The theorem states that \(m^2 = (3\sqrt{2})^2 + (3\sqrt{2})^2\), and since \(m > 0\), we have \(m = 6\).
Step 3: Match the calculated values with the given options to find the correct answer. The correct answer is C) \(m=6\), \(n=3\sqrt{2}\)..
