Let A = (4,0, 0), B = (0, 3, 0), and C = (0, 0, 5). %3D %3D (a) Draw a diagram, then find coordinates for the point closest to C on segment AB. (b) Find the area of triangle ABC. (c) Find the length of the altitude drawn from A to BC.

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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Please answer the question in the picture below. Show all work. Thank you
Let A =
(4, 0, 0), B =
(0, 3, 0), and C =
(0,0, 5).
%3D
(a) Draw a diagram, then find coordinates for the point closest to C on segment AB.
(b) Find the area of triangle ABC.
(c) Find the length of the altitude drawn from A to BC.
Transcribed Image Text:Let A = (4, 0, 0), B = (0, 3, 0), and C = (0,0, 5). %3D (a) Draw a diagram, then find coordinates for the point closest to C on segment AB. (b) Find the area of triangle ABC. (c) Find the length of the altitude drawn from A to BC.
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