Question

The circumcenter of ABC is point X. Fill in the blanks.

A) AC = ___ = ____
B) AC = ___ units.
please help me

Answer 1

AX is 36 units

Explanation:

Given that the the point X is the circumcenter of the triangle ABC.

By definition the circumcenter of a triangle is the point which is equidistant from the three vertices of triangle that are A, B and C.

⇒ AX=CX=BX

Given that BX i.e the distance from the orthocenter to one vertex of triangle is 36 units.

∵ Circumcenter is equidistant from the three vertices of triangle that are A, B and C.

∴ AX = 36 units