Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a = 11\), \(b = 12\) and hypotenuse \(c\), the Pythagorean theorem is \(c=\sqrt{a^{2}+b^{2}}\).
Substitute \(a = 11\) and \(b = 12\) into the formula: \(c=\sqrt{11^{2}+12^{2}}\).
First, calculate \(11^{2}=121\) and \(12^{2}=144\). Then \(11^{2}+12^{2}=121 + 144=265\). So \(c=\sqrt{265}\).

Step2: Calculate the square root and round

\(\sqrt{265}\approx16.3\) (rounded to the nearest tenth).

Answer:

\(16.3\)