Question

) construct an equilateral triangle with sides 5cm and justify the construction construct perpendicular bisector 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 5cm.

Steps of construction :

1) Draw a line segment AB of length 5 cm.

2) Taking 5 cm as radius, and A as centre, draw an arc.

3) Taking 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.