Construct ΔNTS where NT = 5.7 cm, TS = 7.5 cm and ∠NTS = 110⁰ and draw incircle and circumcircle of it.

Steps of Construction:

1. Construct ΔNTS of given dimensions.

2.Draw bisectors on ∠T and ∠S.

3.The point of intersection as B.

4.Draw perpendicular on NT from B.

5. With B as center and length of perpendicular as radius, draw a circle.

6.Draw perpendicular bisectors of ST and TN.

7.The point of intersection is A.

8. With A as center, and AS as radius draw a circle.