Question

1. Construct the perpendicular bisector of AB= 8.6cm. Also write the steps of construction
2. construct the angle of 30°, 45° ,105° and 120° separately.
3.Construct a triangle ABC if BC = 6 cm ,AB+AC= 9cm, angle B=60°. Also write steps of construction.​

Answer 1

Answer:

1.ans

Step-by-step explanation:

This construction shows how to draw the perpendicular bisector of a given line segment with compass and straightedge or ruler. This both bisects the segment (divides it into two equal parts, and is perpendicular to it. It finds the midpoint of the given line segment.

Printable step-by-step instructions

The above animation is available as a printable step-by-step instruction sheet, which can be used for making handouts or when a computer is not available.

Proof

This construction works by effectively building congruent triangles that result in right angles being formed at the midpoint of the line segment. The proof is surprisingly long for such a simple construction.

The image below is the final drawing above with the red lines and dots added to some angles.