Question

Draw a line segment AB of length 7 cm. Taking A as centre, draw a circle of radius 3 cm and taking B as centre, draw another circle of radius 2.5 cm. Construct tangents to each circle from the centre of the other circle.

Answer 1

Steps of Construction :
Step 1. Draw a line segment AB = 8.5 cm.
Step 1. Draw circles with A and B as centres and radii 4 cm and 3 cm, respectively.
Step 2 Bisect AB at M.
Step 4. Draw a circle with M as centre and radius equal to MB and MA to intersect the given circles at points T_1, T₂, T₃ and T₄.
Step 5. Join AT₁ , AT_{2 ,}BT₃ and BT_4.


Thus, AT₁ , AT_{2 ,}BT₃ and BT₄ are the required tangents.