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ii.
In figure, points X, Y, Z are the midpoints of side AB side BC and side AC of
angle ABC respectively. AB = 5cm , AC

By Vivian

ii.
In figure, points X, Y, Z are the midpoints of side AB side BC and side AC of
angle ABC respectively. AB = 5cm , AC= 9cm and BC = 11 cm. Find the length
of XY, YZ, XZ.​

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Vivian

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1 thought on “ii.<br />In figure, points X, Y, Z are the midpoints of side AB side BC and side AC of<br />angle ABC respectively. AB = 5cm , AC”

  1. Answer:

    Given that X,Y and Z are the midpoints of the side AB,BC and CA respectively.

    By midpoint theorem

    XZ∣∣BC and XZ =

    2

    1

    BC

    BC=11cm

    ⇒XZ=

    2

    BC

    =

    2

    11

    =5.5cm

    Similarly,

    XY∣∣AC and XY =

    2

    1

    AC

    AC=9cm

    XY=

    2

    AC

    =

    2

    9

    =4.5 cm

    YZ∣∣AB and YZ =

    2

    1

    AB

    AB=5cm

    YZ=

    2

    AB

    =

    2

    5

    =2.5 cm

    Reply

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