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Question

Construct ¯¯¯¯¯¯¯¯AB of length 7.8 cm. From this, cut off ¯¯¯¯¯¯¯¯AC of length 4.7 cm. The measure of ¯¯¯¯¯¯¯¯BC is .

A
4.7 cm
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B
3.1 cm
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C
7.4 cm
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D
1.3 cm
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Solution

The correct option is B 3.1 cm

Step 1: Line segment AB of length 7.8 cm has been constructed.

Step 2: Now, if we draw an arc of radius 4.7 cm, taking A as the centre, the arc intersects the segment AB at point C.

Therefore,
The length of AB is 7.8 cm.
Since points A, B and C lie on the same line, we can subtract the length of AC from that of AB to find the value of BC.

Hence, BC = AB - AC = 7.8 - 4.7 = 3.1 cm
Therefore, the measure of BC is 3.1 cm.

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