Question

Formula for excenter

Answer 1

Answer:

Explanation:

An excenter is a point at which the line bisecting one interior angle meets the bisectors of the two exterior angles on the opposite side. This is the center of a circle, called an excircle which is tangent to one side of the triangle and the extensions of the other two sides.

Answer 2

Excentre of a triangle is the point of concurrency of bisectors of two exterior and third interior angle. Hence there are three excentres I1, I2 and I3 opposite to three vertices of a triangle.

1(x, y) = (–ax 1+bx 2+cx 3/a+b+c/–a+b+c, –ay 1+by 2+cy 3/–a+b+c).