Question

question 22
find the length of the hypotenuse of the right triangle pictured below.
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Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(c^{2}=a^{2}+b^{2}\). Here \(a = 2\) and \(b = 13\).

Step2: Calculate \(c^{2}\)

\(c^{2}=2^{2}+13^{2}=4 + 169=173\).

Step3: Find \(c\)

\(c=\sqrt{173}\).

Answer:

\(\sqrt{173}\)