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AP EAMCET202018 Sep 2020Morning ShiftMathematicsProperties of TrianglesActual

Let (A B C ) be a triangle. Let (u= A B ) and (v= A C ). If (D ) is a middle point of (B C ), then ( A D = )

Options

  1. A( u-v 2 )
  2. B( v-u 2 )
  3. C( u+v 2 )
  4. D(u+v )

Correct answer

C. ( u+v 2 )

Step-by-step solution

If in a ( A B C, A B = u ) and ( A C = v ) and (D ) is mid-point of (B ) and (C ), then ( A D = A B + A C 2 = u + v 2 . mid-point formula )

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