Question

Construct a triangle $ABC$ with $AB=4.2cm,BC=6cm$ and $AC=5cm$. Construct the circumcircle of the triangle drawn.

Answer 1

Steps of construction :
$\left(i\right)$ Draw a line segment $AB+42cm$
$\left(ii\right)$ Now, taking $B$ as centre, draw an arc of length $6cm$ form $B$ using compass
$\left(iii\right)$ Again taking $A$ as centre, draw another arc bisecting the previous arc marked by $B$ at point $C$ such that $AC=5cm$
$\left(iv\right)$ Join $C$ to points $A$ and $B$. The required triangle $ABC$ is obtained
$\left(v\right)$ Draw the perpendicular bisector of any two sides of the triangle.
Let these intersect at point $O$.
$\left(vi\right)$ Taking $O$ as centre and $OA$ or $OB$ or $OC$ as radius, draw a circle with the help of compass
This circle will pass through the vertices $A,B$ and $C$.