Question

In an equilateral triangle, the incenter, orthocenter, circumcenter, and centroid are __________.

A. On the same line

B. Unequal

C. Imaginary

D. The same point

Answer 1

D. The same point

Explanation:

An equilateral triangle can be defined as a type of triangle that has all of its sides being equal in length.

This ultimately implies that, an equilateral triangle comprises of three (3) congruent sides and as such creates three (3) congruent angles that measures 60° each. Also, the sum of the congruent angles of an equilateral is always equal to 180°.

Hence, in an equilateral triangle, the incenter, orthocenter, circumcenter, and centroid are the same point i.e all of the three (3) centers fall on the same point or spot.