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 appro
ximate distances and angles, as shown. A triangle is labeled with Jo apostrophe s House, Boris apostrophe s House, and Carrie apostrophe s house on the points. The length from Jo to Boris is 0.5 miles, the length from Boris to Carrie is 0.4 miles, and the length from Carrie to Jo is 0.6 miles. The angle at Jo is 38 degrees. The angle at Boris is 88 degrees. The angle at Carrie is 54 degrees. Which step should they take next to find a meeting place that is the same distance from each person’s house? Find the midpoint of the segments which connect their houses. Bisect each of the angles with vertices at their houses. Draw perpendicular lines through any point on the segments which connect their houses. Draw perpendicular line segments from each vertex to the opposite side.
