The -coordinate of the incentre of the triangle that has the coordinates of…

MATHEMATICS · Single correct · US High School · Geometry · Coordinate Geometry · Coordinate Geometry

Problem

The

x

-coordinate of the incentre of the triangle that has the coordinates of mid-points of its sides are

(0, 1)

(1, 1)

and

(1, 0)

is (1)

2 + \sqrt{2}

(2)

2 - \sqrt{2}

(3)

1 + \sqrt{2}

(4)

1 - \sqrt{2}