Question

Draw a line segment of given length and construct a perpendicular bisector to line segment using scale and compass

10.4 cm

Answer 1

Construction:

Step 1: Drawn a line and marked two points A and B on it so that AB = 10.4 cm.

Step 2: Using compass with A as centre and radius more than half of the length of AB, drawn two arcs of same length one above AB and one below AB.

Step 3: With the same radius and B as centre drawn two arcs to cut the arcs drawn in step 2 and marked the points of intersection of the arcs as C and D.

Step 4: Joined C and D. CD intersects AB.

Marked the points of intersection as O. CD is the required perpendicular bisector.

Now ∠AOC = 90°, AO = BO = 5.2 cm