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Question

Divide the line segment AB=7.5 cm into two equal parts.

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Solution

Step 1: Draw a line AB of length 7.5 cm using a ruler.
Step 2: Place the compass on point A and draw two arcs above and below line AB with radius greater than 3.75 cm
Step 3. Repeat the above step by placing a compass on B such that the arcs from point B intersect the arcs from point A.
Step 4: Join the intersection points of the arcs and let it intersect lineAB at C.

Thus, C divides line AB in the ratio 1:1, i.e, two equal parts.

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