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AP EAMCET202021 Sep 2020Morning ShiftMathematicsVector AlgebraActual

For a right angled triangle having the lengths of two sides as (2 2 ) and 5, find the length of the third side.

Options

  1. A(4 2 )
  2. B( 15 )
  3. C( 17 )
  4. D( 13 )

Correct answer

C. ( 17 )

Step-by-step solution

Let the third side of right angled triangle is ' (p ) ', then either (p^2=(2 2 )^2+5^2=8+25 p= 33 ) or (p^2=5^2-(2 2 )^2=25-8 p= 17 ) Hence, option (c) is correct.

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