4) Three planes form a triangular prism with the equations: y = 0 -√3x + y = 0 x + √3y = 4 a. Find the angle between each pair of planes. What type of triangle is formed? b. Find the equations of all three lines of intersection. (Hint: their direction should be obvious!) c. Find the lengths of the sides of the triangle formed by the cross-section.

4) Three planes form a triangular prism with the equations: y = 0 -√3x + y = 0 x + √3y = 4 a. Find the angle between each pair of planes. What type of triangle is formed? b. Find the equations of all three lines of intersection. (Hint: their direction should be obvious!) c. Find the lengths of the sides of the triangle formed by the cross-section.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter7: Locus And Concurrence

Section7.2: Concurrence Of Lines

Problem 8E: a Is it really necessary to construct all three bisectors of the angles of a triangle to locate its...

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