Question

Draw a circle of radius 4.5 cm. Take a point Pon its circumference. Construct a tangent to the circle at P without using the centre. 

Answer 1

Steps of construction: 

(i) Draw a cirde with radius 4.5 cm. 

(ii) At any point P draw a chord PA. 

(iii) Take any point Bon the circle and join PB and AB. 

(iv) At P, draw ∠ APT equal to ∠ ABP  

(v) PT is the required tangent.