Question

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Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a = 8\mathrm{cm}\) and \(b = 15\mathrm{cm}\), and hypotenuse \(d\), the Pythagorean theorem is \(a^{2}+b^{2}=d^{2}\).
So \(d^{2}=8^{2}+15^{2}\).

Step2: Calculate the squares

\(8^{2}=64\) and \(15^{2}=225\). Then \(d^{2}=64 + 225=289\).

Step3: Find the square - root

Since \(d^{2}=289\), then \(d=\sqrt{289}\). And \(\sqrt{289}=17\mathrm{cm}\).

Answer:

\(17\mathrm{cm}\)