The radii of two

Steps of Construction:”

1. Draw a line segment AB of length 6cm.

2. With A as center, draw a circle of radius 1.7 cm.

3. With B as center, draw a circle of radius 2.8 cm.

4. With B as center, draw another circle of radius (1.7+2.8) =4.5cm.

5. Draw a perpendicular bisector of AB. It intersects with AB at M.

6. With M as center and AM as radius draw a semicircle.

7. This circle intersects with circle of radius 5cm at S.

8. Join B to S. BS cuts the inner circle at K.

9. From A, draw a line parallel to BS.

10. This line intersects with the circle at L.

11. Join K to L.

12. KL is the required transverse common tangent.