What value of n would make point A the circumcenter?

Solution:

We know that the circumcenter is a point where the perpendicular bisectors of a triangle intersect each other.

It is known as the center of the triangle and the distance of each circumcenter to each vertex are the same.

In triangle DEF

A is the circumcenter

AE = AD

10 = 2n + 4

Let us subtract 4 from both sides

10 - 4 = 2n + 4 - 4

6 = 2n

Divide both sides by 2

n = 3

Therefore, the value n = 3 will make point A as circumcenter.

What value of n would make point A the circumcenter?

Summary:

The value of n = 3 will make point A as circumcenter.