Question

(8,9) and (5,3)
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attempt 1 out of 2
6 leg 2: 3 hypotenuse:
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Explanation:

Step1: Identify the legs of the right - triangle

The horizontal leg length (change in x) is \(8 - 5=3\) and the vertical leg length (change in y) is \(9 - 3 = 6\).

Step2: Apply the Pythagorean theorem

The Pythagorean theorem is \(c=\sqrt{a^{2}+b^{2}}\), where \(a = 3\) and \(b = 6\). So \(c=\sqrt{3^{2}+6^{2}}=\sqrt{9 + 36}=\sqrt{45}=3\sqrt{5}\).

Answer:

\(3\sqrt{5}\)