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प्रश्न
In ΔXYZ, M and N are mid-points of XY and XZ respectively. P and Q are mid-points of XM and XN. If PQ = 2.8 cm, find the length of YZ.
बेरीज
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उत्तर
Step 1:
P and Q are mid-points of XM and XN.
According to the Midpoint Theorem, PQ = `1/2` MN
So, MN = 2 × PQ
MN = 2 × 2.8 cm = 5.6 cm
Step 2:
M and N are mid-points of XY and XZ
According to the Midpoint Theorem, MN = `1/2` YZ
So, YZ = 2 × MN
YZ = 2 × 5.6 cm = 11.2 cm
The length of YZ is 11.2 cm.
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