Q:

Three friends want to meet at a place that is the same distance from each of their houses. They draw a map and measure the approximate distances and angles, as shown. Which step should they take next to find a meeting place that is the same distance from each person’s house? A. Find the midpoint of the segments which connect their houses.B. Bisect each of the angles with vertices at their houses. C. Draw perpendicular lines through any point on the segments which connect their houses. D. Draw perpendicular line segments from each vertex to the opposite side.(ignore the veterans thing on the screenshot lol)

Accepted Solution

A:
They need the circumcenter of the triangle.
Find the midpoint of each side.
Draw a perpendicular to each side through its midpoint.
The three perpendiculars intersect at the circumcenter.

The first step is to find the midpoint of each side.