Question

find the length of the third side. if necessary, round to the nearest tenth.
answer attempt 1 out of 2
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Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a = 11\), \(b = 12\) and hypotenuse \(c\), the Pythagorean theorem is \(c^{2}=a^{2}+b^{2}\).
Substitute \(a = 11\) and \(b = 12\) into the formula: \(c^{2}=11^{2}+12^{2}\).
Calculate \(11^{2}=121\) and \(12^{2}=144\). Then \(c^{2}=121 + 144\).

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

\(c^{2}=121+144=265\).
Take the square root of both sides: \(c=\sqrt{265}\).
\(\sqrt{265}\approx16.3\) (rounded to the nearest tenth).

Answer:

\(16.3\)