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Draw a line segment AB of length 85 cm. Taking A and B as centers and radii respectively 5 cm and 3 cm draw two circle. From the center of each circle draw the tangents to the other circle.

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Given : Line segment AB = 8.5cm. 

Two circles with radii 5 cm and 2 cm on the two ends of AB.

Steps of construction :

(1) First of all, we draw a line segment AB = 8.5 cm

(2) Taking A as center and radius 5 cm, draw circle draw another circle of radius 2 cm at B.

(3) Bisect line segment AB at M.

(4) With M as center and MA as radius, draw a circle which intersects the circle center A at S and T and the circle center B at P and Q.

(5) Join SB, TB, PA and QA.

Hence SB and TB are the tangents to the circle center A from B also PA and QA are the tangents to the circle center B from A.

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