Question

Draw a line segment AB of length 8 cm. Taking A as center and radius 4 cm draw a circle and draw a pair of tangents to this circle from point B.

Answer 1

Steps of construction :

(1) Draw a line segment AB = 8 cm.

(2) Draw a circle of radius 4 cm from A as center.

(3) Draw the perpendicular bisector of AB at M.

(4) Taking M as center and radius MA draw a circle which intersects the circle center A at T₁ and T₂.

(5) Join BT₁ and BT₂ and BT₁ and BT₂ are the required tangents.

On measuring, we get BT₁ = BT₂ = 6.93 cm.