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Chapter 10: Q5. (page 388)
The medians of are shown. Find the lengths indicated.
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Draw a figure roughly like one shown, but larger. Do the indicated construction clearly enough so that your method can be understood easily.
The perpendicular to from .
Describe how you would construct each of the following:
The midpoint of .
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?
If a side of a square has length , then a diagonal of the square has length ____ cm.
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