AP EAMCET · Maths · Vector Algebra
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 & Solution
Correct Answer
(C) \(\sqrt{17}\)
Step-by-step Solution
Detailed explanation
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.
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