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Midpoint theorem: segment joining two midpoints is half the third side

This type of question, asked 2 times: 19 Jul 2023 S4, 25 Sep 2024 S3. All 2 questions below, oldest first.

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  1. Question 1

    19 Jul 2023 S4

    62
    The mid points of AB and AC of a △ABC\triangle ABC are X and Y, respectively. If BC+XY=18BC + XY = 18 units, then the value of BC−XYBC - XY is:

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  2. Question 2

    25 Sep 2024 S3

    75
    In ΔPQR\Delta PQR, S and T are the midpoints of the sides PQ and PR, respectively. The length of the side QR is 12 cm. If ST is parallel to QR, then find the length (in cm) of ST.

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