Question

Construct a triangle ABC with AB= 5 cm, $\angle B={60}^{\circ }andBC=6.4cm.$ Draw the incircle of the triangle ABC.

Answer 1

Steps of construction :
$\left(i\right)$ Draw a line $AB$ of length $5cm$
$\left(ii\right)$ Taking $B$ as centre, draw an angle $B={60}^o$ using compass.
$\left(iii\right)$ With the help of compass, draw an arc $BC=6.4cm$ from point $B$ as centre
$\left(iv\right)$ Join the points $A$ and $C$ such that it forms a $△ABC$
$\left(v\right)$ Now, from $A$ and $B$ cut the bisector of $\angle A$ and $\angle B$ which, intersect each other at point $D$
$\left(vi\right)$ Taking $D$ as centre, draw an incircle with the help of compass which touches all the three sides of $△ABC$