For a right angled triangle having the lengths of two sides as \(2 \sqrt{2}\) and 5, find the length of the…
For a right angled triangle having the lengths of two sides as \(2 \sqrt{2}\) and 5, find the length of the third side.
\(4 \sqrt{2}\)
\(\sqrt{15}\)
\(\sqrt{17}\)
\(\sqrt{13}\)
Solution
Let the third side of right angled triangle is ' \(p\) ', then either \(p^2=(2 \sqrt{2})^2+5^2=8+25 \Rightarrow p=\sqrt{33}\) or \(p^2=5^2-(2 \sqrt{2})^2=25-8 \Rightarrow p=\sqrt{17}\)
Hence, option (c) is correct.