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28. If r1, r,, r ̧ be the radii of the escribed circles and s the semi-perimeter of the triangle, shew that

s2 = r ̧r,+r, 3

29. Prove that the lines drawn from the centres of the inscribed to those of the escribed circles are each equal to twice the radius of the circumscribed circle.

30. Shew that the distances from the centre of the inscribed circle to the centres of the escribed circles are respectively equal to

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r is the radius of a circle inscribed in a triangle ABC;

31.

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32. If R, r be the radii of the circles described about and inscribed in the triangle ABC, and s the semi-perimeter of the

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(10) 36°, 54°, 90°; 40, 60%, 100; 5' 10' 2'

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33 15

(6) 70: 67.

(9) 3.14159.

π Зп π

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OR ᏢᎡ PR OR

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