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.

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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Question

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.

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