To find: The largest possible
Answer to Problem 44PPS
The largest possible circle shown in figure (2).
Explanation of Solution
Given information:
The given triangle shown in figure (1).
Figure (1)
Proof:
M wants to put a circle inside a triangle, so, the center of the largest possible circle is equidistant to each of the side.
The
Use a ruler and a protractor to calculate the angle bisector of each angle in the triangle. Locate the point of concurrency of the three angle bisectors. Incenter theorem shows the incenter is equidistant from each side.
Draw a circle centered at the incenter and with radius equal to the distance from the incenter to each side. This is the largest possible circle shown in figure (2).
Figure (2)
Therefore, the largest possible circle shown in figure (2).
Chapter 5 Solutions
Geometry, Student Edition
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