Mathematics
In the adjoining figure, ABCD is a rectangle in which AB = 6 cm and AD = 8 cm. If P and Q are mid-points of the sides BC and CD respectively, then the length of PQ is
7 cm
5 cm
4 cm
3 cm
![In the figure, ABCD is a rectangle AB = 6 cm and AD = 8 cm. If P and Q are mid-points of BC and CD, then the length of PQ is? Mid-point Theorem, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.](https://cdn1.knowledgeboat.com/img/mla9/q2-c11-mcq-mid-point-ml-aggarwal-solutions-icse-class-9-1156x632.png)
Mid-point Theorem
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Answer
Length of diagonal (BD) of ABCD = = 10 cm.
In △BCD,
P is midpoint of BC and Q is midpoint of CD.
PQ || BD and PQ = BD = x 10 = 5 cm.
Hence, Option 2 is the correct option.
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Related Questions
In the adjoining figure, the lines l, m and n are parallel to each other, and G is mid-point of CD. Calculate :
(i) BG if AD = 6 cm
(ii) CF if GE = 2.3 cm
(iii) AB if BC = 2.4 cm
(iv) ED if FD = 4.4 cm
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