reyel
Answered

A circumcenter of ∆ABC is 2x - 6 units from vertex A and x + 27 units from vertex B. How far from the vertices is the circumcenter?
A. 11 units
B. 8 units
C. cannot be determined from given information
D. 16 units

Answer :

MathPhys

Answer:

33 units

Step-by-step explanation:

The circumcenter of a triangle is the center of the circle that contains all of the triangle's vertices. Therefore, the distance between the circumcenter and each of the vertices is the radius of that circle. Since the radius is the same at each point on a circle, vertex A is the same distance away from the circumcenter as vertex B.

2x − 6 = x + 27

x = 33

The vertices are 33 units from the circumcenter. This is not one of the options; there may be a mistake in the problem statement.

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