Question

Construct an equilateral triangle with sides 5 cm and justify the construction.
Construct perpendicular bisectors of all sides and angle bisectors of all angles of
the same triangle.Write the inference of your observation.​

Answer 1

ANSWER

Let's assume side of equilateral triangle is 5.5 cm.

Steps of construction :

1) Draw a line segment AB of length 5.5 cm.

2) Taking 5.5 cm as radius, and A as centre, draw an arc.

3) Taking 5.5 cm as radius, and B as centre, draw another arc.

4) Let C be the point where the two arcs intersect . Join AC and BC and label the sides.

Thus, △ ABC is the required equilateral triangle.

Justification :

By construction, AB = AC = BC (Radius of equal arcs)

Since, all sides are equal , therefore, △ ABC is an equilateral triangle.