Draw Indirect Common Tangents To Two Given Circles, math Assignment Help

Construction - Draw Indirect Common Tangents To Two Given Circles, math

Construction 7: Draw two circles Kith centres 7.4 cm apart and radii 2.5 cm and 2 cm respectively. Draw their indirect common tangents.

Steps of Construction:
1.    Draw a line segment OO' = 7.4 cm.
2.    With O as centre and radius r = 2.5 cm, draw a circle C(O, r). With O' as centre and radius r' = 2 cm, drawn the circle C(O', r').
3.    Bisect OO' at M. With M as centre and radius OM = 1/2 OO', draw a circle C(M, 1/2 OO').
4.    With O' as centre and radius = r + r' = 4.5 cm, draw the circle C(O', r + r'), meeting the circle C(M, 1/2 OO') in P and Q;
5.    Join O'P and O'Q, cutting C(O', r') at T and T.
6.    Draw OS || O'T and OR || OT, meeting C(O, r) at Sand R respectively.
7.    Join RT and ST Then, RT and ST are the required transverse tangents.

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