Question

For a right-angled triangle having the lengths of two sides as $2 \sqrt{2}$ and 5, find the length of the third side.

• A. $4 \sqrt{2}$
• B. $\sqrt{15}$
• C. $\sqrt{17}$
• D. $\sqrt{13}$

Answer 1

Answer: (C)

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 $p^{2}=5^{2}-(2 \sqrt{2})^{2}=25-8$
$\Rightarrow p=\sqrt{17}$