Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking B as centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other circle.

Question

Philoid · Accepted Answer

Steps of Construction:

1. Draw a line segment AB of length 8cm.

2. With A as center, draw a circle with radius of length equal to 4cm.

3. With B as center , draw a circle with radius of length equal to 3cm.

4. Draw perpendicular bisector of AB, which cuts AB at O.

5. With O as center and radius equal to OA(or OB), draw a circle.

6. The Circle of center O cuts the center of center A at C and D.

7. Join BC and BD. Then BC and BD are the required tangents.

8. The circle of center O cuts a circle of center B at E and F.

9. Join AE and AF. Then AE and AF are the required tangents.