Find one point that is located at equal distances from the three vertices of in which is a right angle.
A) point A
B) point B
C) M, the midpoint of
D) N, the midpoint of

Question

Find one point that is located at equal distances from the three vertices of  in which  is a right angle.
A) point A 
B) point B 
C) M, the midpoint of 
D) N, the midpoint of

Quizplus · Accepted Answer

The point that is equidistant from the three vertices of a triangle is the circumcenter. Therefore, we need to find the circumcenter of triangle 11eb4b36_76a8_24ab_a05a_5995e8b5e14e_TB7237_11. Since 11eb4b36_76a8_24ac_a05a_2f63d19d3d2a_TB7237_11 is a right angle, its circumcenter is the midpoint of its hypotenuse (the longest side). Thus, the circumcenter of triangle 11eb4b36_76a8_24ab_a05a_5995e8b5e14e_TB7237_11 must be the midpoint of the side opposite the right angle, which is choice C, the midpoint of 11eb4b36_76a8_24ad_a05a_65a8d5982b80_TB7237_11.

Find One Point That Is Located at Equal Distances from the Three