# In a triangle two points are chosen. Distances from one of them to the parties of a triangle are equal 1, 3 and 7, and from another (the parties are considered in the same order) — 3, 4 and 6. Find the radius of the circle entered in this triangle.

Dalandis

202

Let (x ; y) the solution of inequality is . Then follows from a statement of the problem that | x – 3y | lt; 1 . As x and y – integers, x = 3y . we Will substitute this result in initial inequality, then: | 6y – 5.5 | £ Þ | 6y – 5.5 | lt; 1 Û –1 lt; 6y – 5.5 lt; 1 Û. Thus, y = 1; x = 3.

231

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Becker Anna

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