Answered: Consider the triangle ΔABC and denote…

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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Consider the triangle ΔABC and denote by P the point on the segment BC such that 4PC=BC. Suppose further that P is the foot of the height relative to vertex A. Knowing that projBC→BA=(√x,√5−x,7√x), mark the alternative that corresponds to the value of x>0 such that ∥PC∥=2.

a. x=35/48

b. x=19/49

c. x=31/49

d. x=23/50

e. x=27/49

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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