It is not possible to find a spot for the recreation centre which is equidistant from three towns.
Three points as collinear points.
Centroid and median relation of a triangle.
Consider the segments.
Draw the perpendicular bisector of each segment as shown in the figure:
We know that perpendicular bisectors are parallel to each other.
These exploratory exercises can be done using a computer with a program that draws and measures geometric figures.
2. a. Draw any acute Draw the perpendicular bisector of each side of the triangle. They should intersect in one point. Measure the distance from this point of intersection to each of the vertices of the triangle. What do you notice?
b. repeat using an obtuse triangle and a right triangle. Is the same result true for these triangles as well?
c. In a right triangle, the perpendicular bisectors of the sides intersect in what point?
94% of StudySmarter users get better grades.Sign up for free