Three points of the BCD are collinear. Means that BD = 17cm, DC = 27cm. What can be the length of the segment BC.

Since the segments are given by BD and DC, the point D is common for the segments.

There are two options for the location of points on the same straight line.

In the first case, point D lies between points B and C, then the segment BC = BD + DC = 17 + 27 = 44 cm.

In the second case, point B, since the segment BD is less than DC, lies between points C and D, then the segment BC = DC – BD = 27 –17 = 10 cm.

Answer: The distance of the speaker can be 10 cm or 44 cm.

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