Maths-
General
Easy

Question

Find the value of x. Identify the theorem used to find the answer.

hintHint:

  • Mid-point theorem:
  • According to mid-point theorem, in triangle, the line segment which joins the midpoint of two sides is parallel to third side and is equal to half of third side,

The correct answer is: x = 12.


    Answer:
    • Step by step explanation: 
      • Given:
    From figure,
    BM = MC,
    hence M is midpoint of BC.

    BN = NA,
    hence N is midpoint of AB.

    MN = x

    AC = 24

    • Step 1:
    In straight triangle ABC text ,  end text
    The line segment MN joins midpoint of AB and BC
    So,
    According to midpoint theorem,
    MN is parallel to AC and

    MN = fraction numerator A C over denominator 2 end fraction

    MN = 24 over 2

    MN = 12

    ∴ x = 12.
    Final Answer:

    x = 12.

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