The construction shown when completed will generate what geometrie shape? a. A triangle inscribed within a eircle b. A circle inscribed within a triangle c. A triangle inseribed within a triangle d. A circle cireumscribed about a triangle

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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The construction shown when completed will
generate what geometrie shape?
a. A triangle inscribed within a circle
b. A circle imscribed withi a triangle
c. A triangle inseribed within a riangle
d. A circle cireumscribed about a triangle
Transcribed Image Text:The construction shown when completed will generate what geometrie shape? a. A triangle inscribed within a circle b. A circle imscribed withi a triangle c. A triangle inseribed within a riangle d. A circle cireumscribed about a triangle
Expert Solution
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From the given picture we observe that, they have created angle bisectors of all the three interior angles. These angle bisectors intersect each other at a point, which is known as incenter. If we take the perpendicular distance between any side and that intersection point, and draw a circle by taking it as radius. We observe that, it creates a circle which is inscribed in the triangle.

 

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