Question

Draw a line segment of length 8.6 cm. Bisect it and measure the length of each part.

Answer 1

Draw a line segment of length 8.6 cm. Bisect it and measure the length of each part.

The length of each part is 4.3 cm.

Steps of construction:

Draw a line AB of scale 8.6 cm.

Draw an arc from point A or point B with a scale of half the measure of line AB.

Mark that point as C.

We have, AB = AC + BC

(as C is the mid point of line AB)

AC = CB = AB/2

Therefore, the length of each part,

AC = CB = 8.6/2 = 4.3 cm

Answer 2

AC = BC = 4.3 cm

Explanation:

• Construct a line segment AB of length 8.6 cm.
• Taking A as centre and radius more than half of AB, draw arcs on both sides of the line segment AB.
• Taking the same radius and B as centre, draw arcs on the both sides of  the line segment AB, cutting the previous two arcs at E and F.
• Draw a line segment from E to F intersecting AB at C.
• On measuring AC and BC, we get: AC = 4.3 cm and BC = 4.3 cm

So that AC = BC = 4.3 cm

To learn more...

1. Construct a perpendicular bisector of a line segment of length 8.4cm

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2. Draw line segment a b 10 cm long use ruler and compass to divide a b into 4 equal parts what is the length of each part.

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