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)

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.

Answer Link

MrRoyal MrRoyal · Answer 2 · 2021-10-19T17:41:41+02:00

The distance between two points is the number of units between them.

The step should they take next is to (a) Find the midpoint of the segments which connect their houses.

From the attached figure, we can see that the endpoints of the triangle have already been drawn and joined together.

The next step is to calculate the centroid of the triangle.

To calculate the centroid, they need the midpoint of the side lengths of the triangle.

Hence, the next step is to: (a) Find the midpoint of the segments which connect their houses.