bisects

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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In right triangles, regardless of what two angles are opposite of the 90 degree angle, if you take the total length of the hypotenuse "C" and divide that in half (1/2 C), and then you draw a line from that point exactly parallel to the triangle base "B", so that it bisects the vertical leg "A", will the point where that new line bisects A always be the midpoint of leg A?  Thank you!

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