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A triangle, whose sides are 6, 8, and 10, and a circle, whose radius is r, are drawn so that no part of the triangle lies outside the circle. How small can r be?

A triangle, whose sides are 6, 8, and 10, and a circle, whose radius is r, are drawn so that no part of the triangle lies outside the circle. How small can r be?
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2 votes
A triangle, whose sides are 6, 8, and 10, and a circle, whose radius is r, are drawn so that no part of the triangle lies outside the circle. How small can r be?

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User Rony L
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8.3k points

2 Answers

4 votes
The smallest r can be is half the longest side of the triangle 
answered
User Shep
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8.2k points
3 votes
The radius is half the longest side, 5.
answered
User Orszaczky
by
7.6k points
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