Chapter 10: Q6. (page 382)
Describe how you would construct each of the following:

The perpendicular to at .
Short Answer
The construction of perpendicular tois described.

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Chapter 10: Q6. (page 382)
Describe how you would construct each of the following:

The perpendicular to at .
The construction of perpendicular tois described.

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Draw three noncollinear points and Construct a triangle whose sides have and as midpoints.
Is there some kind of triangle such that the perpendicular bisector of each side is also an angle bisector, a median, and an altitude?
Refer to the diagram in which the medians of a triangle are shown.
If then .

Using any convenient length for a side, construct an equilateral triangle.
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?
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