Respuesta :
The solutions are,
x = 7° is the value of x that will make P the triangle's incenter.
P, the circumcenter of the triangle, is made by the value of x, which is x = 6°.
Given condition;
The triangle has a point of concurrency at P. Find the value of x that would make P the incenter of the triangle. x = Find the value of x that would make P the circumcenter of the triangle;
To know the values and relations;
Incenter of a triangle:
A triangle's incenter is the point at which its circumscribed circle is at its center.
Given that x determines P, the triangle's incenter, we may calculate the following;
(3x + 3) = 24 x = 21/3 = 7.
x = 7° is the value of x that will make P the triangle's incenter.
Triangle circumcenter:
The triangle's circumcenter is the center of the circle that encircles the triangle.
As a result, the distance between P and the vertices is equal to the radius of the circle circumscribed by,
(5x - 4) = 26 x = 30/5 = 6
P, the circumcenter of the triangle, is made by the value of x, which is x = 6°.
Hence,
The value of x that will make the P the incenter of the triangle is x = 7°
The value of x, which makes P, the circumcenter of the triangle, is x = 6°
To learn more about circumcenter click here:
brainly.com/question/16276899
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