Question

In $∆$ LMN, LM = 7.2 cm, $\angle$M = ${105}^{°}$ , MN = 6.4 cm , then draw $∆$ LMN and construct its circumcircle.

Answer 1

Steps of construction:
1. Draw a line LM = 7.2 cm.
2. With M as centre, draw an angle of 105$°$ using the protractor.
3. With M as centre and 6.4 cm as radius, cut an arc on ray MX and name it as N.
4. Join LN. $∆$LMN is thus obtained.
5. Draw the perpendicular bisectors of the lines NM and LM. Let these perpendicular bisectors meet at point O.
4. With O as centre and OM as radius, construct a circle touching all the vertices of the $∆$LMN.
This circle is thus the required circumcircle.