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, \(a^{2}+b^{2}=c^{2}\), where \(a = 9\), \(b = 12\), and \(c\) is the hypotenuse.
So, \(c=\sqrt{9^{2}+12^{2}}\).

Step2: Calculate the squares

\(9^{2}=81\) and \(12^{2}=144\). Then \(9^{2}+12^{2}=81 + 144=225\).

Step3: Find the square root

\(c=\sqrt{225}=15\).

Answer:

\(15\)