Draw a circle of diameter of 9 cm. Mark a point at a distance of 7.5 cm from the centre of the circle. Draw tangents to the given circle from this exterior point. Measure the length of each tangent.
Draw a circle of diameter of 9 cm. Mark a point at a distance of 7.5 cm from the centre of the circle. Draw tangents to the given circle from this exterior point. Measure the length of each tangent.

Steps for construction:

i) Taking O as the centre, draw a circle of diameter 9 cm (radius = 4.5 cm).

ii) Mark a point P outside the circle, such that PO = 7.5 cm.

iii) Taking OP as the diameter, draw a circle such that it cuts the earlier circle at A and B.

iv) Now, join PA and PB.

Selina Solutions Concise Class 10 Maths Chapter 19 ex. 19 - 2

we get, PA and PB are required tangents.

Therefore,  PA = PB = 6 cm.