Question

construct a circumcircle of the equilateral triangle ABC with side 6 cm


please send the picture of the construction and explanation​

Answer 1

Answer:

Step-by-step explanation:

1.Draw the base with measure of 6cm name the base of triangle as AB.

2.take your compass on point B with measure 6cm and draw an arc do the same with othe point of base A.

3.Join the points of base with the arc and name it as C.

4.After the equilateral triangle is formed you have to draw perpendicular bisector of any two sides of the triangle.

5.to draw perpendicular bisector of base AB.

6.place compass on point B and draw and arc above and below one will be inside triangle while other will be out side the triangle

7.Do the same for point A and the arcs will intersect to join them draw a line.

8.same way we have to bisect the line AC place the compass on the point A draw an arc above and below and do the same with point C and you can see the arcs have intersected so join the drawing a line.

8.Now after completing the perpendicular bisector for both lines AB and AC the perpendicular will bisect each other inside the the triangle at a point. This point of intersection is called as circumcenter which is denoted by letter G mostly but any letter can be used.

9.Using the point of intersection O take the measure of radius OB or OA and draw the circle around the triangle which covers all the 3 vertices of the triangle.

Now you're circumcenter of an equilateral triangle is completed.