Question

The triangle has a point of concurrency at P.Find the value of x that would make P the incenter ofthe triangle.ESSXFind the value of x that would make P the circumcenterof the triangle.26X24IP5x - 43x + 3

Answer 1

The value of x that would make P the incenter of the triangle is x = 7.

The value of x that would make P the circumcenter of the triangle is x = 6.

In Mathematics and Euclidean Geometry, the point of concurrency of the angle bisectors is referred to as the incenter of a triangle. Additionally, the incenter is equidistant from the three sides of a triangle.

Based on the diagram shown above, a value of x that would make P the incenter of the triangle can be calculated as follows;

3x + 3 = 24

3x = 24 - 3

3x = 21

x = 21/3

x = 7.

A circumcenter is the point where perpendicular bisectors (right-angled lines to the midpoint) of the sides of a triangle meet together or intersect. In this context, a value of x that would make P the circumcenter of the triangle can be calculated as follows;

5x - 4 = 26

5x = 26 + 4

5x = 30

x = 30/5

x = 6

Answer 2

The incenter is where the