Lisa, Bree, and Caleb are meeting at an amusement park. They each enter at a different gate. On this diagram of the park, explain how the friends could calculate the point that is equidistant from all three gates. gate1, gate2, gate3
To find the point that is equidistant from all three gates (gate1, gate2, and gate3), Lisa, Bree, and Caleb can follow these steps:
1. Start by locating gate1, gate2, and gate3 on the diagram of the amusement park.
2. Draw a line segment connecting gate1 and gate2. This line represents the points that are equidistant from both gate1 and gate2.
3. Draw another line segment connecting gate2 and gate3. This line represents the points that are equidistant from both gate2 and gate3.
4. Where these two line segments intersect will be a point that is equidistant from all three gates (gate1, gate2, and gate3). Label this point as P.
5. To distribute the effort equally, Lisa, Bree, and Caleb can choose to meet at point P, as it will be equidistant from all three gates.
In summary, Lisa, Bree, and Caleb can find the point equidistant from all three gates by drawing line segments connecting gate1 and gate2, as well as gate2 and gate3. The point where these two line segments intersect will be the desired point, labeled as P.