construct the circumcircle of the triangle ABC,in which AB=5cm, BC=6cm, and angleA=60degree and write its step - Maths - Constructions

Question

construct the circumcircle of the triangle ABC,in which AB=5cm,
BC=6cm, and angleA=60degree and write its step

Ayush Jha · Accepted Answer

We have to construct the circumcircle of a triangle So first of
all we need to construct a triangle and then find the intersection
of the perpendicular bisectors of the sides of the triangle in
order to get the circumcentre
Step 1 - Draw a line segment AB = 5cm
Step 2 - Draw an angle of 60 degree on A using compass
Step 3 - Using B as centre, cut an arc of 6cm on the line drawn
from A inclined at 60 degree in order to obtain the point C and
finally the required triangle ABC
Step 4 - Draw the perpendicular bisectors of all the 3 sides of
the triangle using compass
Step 5 - All the 3 perpendicular bisectors meet at O which is
the circumcentre of the triangle Using OA as radius and O as centre
you can draw the required circumcircle of the triangle ABC
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/discuss_editlive/4122803/2013_07_09_09_33_39/circum%20jpg">

construct the circumcircle of the triangle ABC,in which AB=5cm, BC=6cm, and angleA=60degree and write its step.