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# Incenter of a Triangle Calculator

Incenter of the triangle is the center of point of concurrency where the three angles of the triangle bisect together. The incenter (intersection of angle bisectors) is the center of inner circle of the triangle. The angles are concurrent as they always meet in the interior of the triangle. Incenter is the point whose distance to the sides are equal. Simple geometry calculator which is used to calculate the incenter of a triangle based on two dimensional line.

## Incenter of a Triangle Calculator based on Two Dimensional Line

Incenter of the triangle is the center of point of concurrency where the three angles of the triangle bisect together. The incenter (intersection of angle bisectors) is the center of inner circle of the triangle. The angles are concurrent as they always meet in the interior of the triangle. Incenter is the point whose distance to the sides are equal. Simple geometry calculator which is used to calculate the incenter of a triangle based on two dimensional line.

#### Formula:

x = (a * x1 + b * x2 + c * x3) / (a + b + c) y = (a * y1 + b * y2 + c * y3) / (a + b + c) Where, x = X-Coordinate points y = Y-Coordinate points a, b, c = Positive Real Numbers x1, x2, x3 = Coordinate Points y1, y2, y3 = Coordinate Points

#### Example

If (x1, x2, x3) is (2,3,4) and (y1, y2, y3) is (1,6,2) and (a,b,c) is (4,1,7)
x = (2 * 4 + 3 * 1 + 4 * 7) / (4 + 1 + 7)
= 3.25
y = (4 * 1 + 1 * 6 + 7 * 2) / (4 + 1 + 7)
= 2
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