Question

what value of n would make point a the circumcenter? 2 3 4 5

Explanation:

Step1: Recall circumcenter property

The circumcenter of a triangle is equidistant from all the vertices and lies at the intersection of the perpendicular bisectors. So, \( AE = AD \). Given \( AE = 10 \) and \( AD = 2n + 4 \), we set them equal.

$$ 2n + 4 = 10 $$

Step2: Solve for n

Subtract 4 from both sides:

$$ 2n = 10 - 4 $$

$$ 2n = 6 $$

Divide both sides by 2:

$$ n = \frac{6}{2} $$

$$ n = 3 $$

Answer:

3