Question

How would you start to find the incenter of ΔABC?

Answer 1

Construct two angle bisectors that divides the opposite sides into two proportional segments. The answer is D.

Explanation:

Answer 2

The incenter of a triangle is the center of its inscribed circle. Generally, the easiest way to find the incenter is by first determining the inradius and then each side of the triangle can be translated by the length of the inradius, We also can use coordinate geometry through this formula:


`((ax_(1)+bx_(2)+cx_(3))/(a+b+c),(ay_(1)+by_(2)+cy_(3))/(a+b+c))`

Being
`a, b, c` side lengths and with
`(x_(1), y_(1)); (x_(2), y_(2)); (x_(3), y_(3));` the vertices.