Math Problem Statement

Find the equation of the circle inscribed in the triangle with vertices A(1, 0), B(5, 0) and C(3, √ 5). just give the answer not the workings out

Solution

The equation of the circle inscribed in the triangle with vertices A(1, 0), B(5, 0), and C(3, √5) is:

(x−3)2+(y−1)2=1(x - 3)^2 + (y - 1)^2 = 1

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Math Problem Analysis

Mathematical Concepts

Geometry
Circles
Triangles
Coordinate Geometry

Formulas

Equation of a circle: (x - h)^2 + (y - k)^2 = r^2
Incenter of a triangle
Distance formula

Theorems

Incenter Theorem
Pythagorean Theorem

Suitable Grade Level

Grades 10-12

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