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# INSCRIBED AND CIRCUMSCRIBED CIRCLES TO A GIVEN TRIANGLE

CONTENT

1. Inscribed Circle to a Given Triangle
2. Circumscribed Circle to a Given Triangle

## Inscribed Circle to a Given Triangle

The three sides of the given triangle are tangential to the inscribed circle

The procedure for drawing the inscribed circle to a given triangle is as follows:

1. Draw the given triangle ABC.
2. Bisect any two angles of the triangle. The bisecting lines will intersect at O, which is the centre of the inscribed circle.
3. Draw a perpendicular line to any side from O to meet the side at D
4. With O as centre and radius OD draw the inscribed circle.

## Circumscribed Circle to a Given Triangle

The circumference of the circumscribed circle to a given triangle touches the vertices of the given triangle.

The procedure for drawing the circumscribed circle to a given triangle is as follows:

1. Draw the given triangle ABC
2. Bisect any two sides of the given triangle.

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