Answered: a. Draw any acute AABC. Draw the…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter4: Quadrilaterals

Section4.3: The Rectangle, Square, And Rhombus

Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...

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a. Draw any acute AABC. 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?

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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