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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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
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