Question

Draw a line segment $AB$ using a ruler and compass, obtain a line segment of length $\frac{3}{4}\left(AB\right)$.

Answer 1

1. Draw a line segment AB

2. With center A and radius more than 1/2 AB draw arcs one on each side of AB.

3. With center B and same radius draw arcs cutting previous arcs at P and Q respectively.

4. Join PQ and which intersect AB at C

5. With center C and radius more than 1/2 CB draw arcs, one on each side of CB.

6. With center B and same radius, draw arcs cutting previous arcs at R and s respectively

7. Join RS and which intersect CB at D

AD = 3/4 AB.