Let A = (6,0), B = (0,8),C = (0,0). In triangle ABC, let F be the foot of the altitude drawn from C to side AB. (a) Explain why the angles of triangles ABC, CBF, and ACF are the same. (b) Find coordinates for F, and use them to calculate the exact lengths FA, FB, and FC. (c) Compare the sides of triangle ABC with the sides of triangle ACF. What do you notice?

Let A = (6,0), B = (0,8),C = (0,0). In triangle ABC, let F be the foot of the altitude drawn from C to side AB. (a) Explain why the angles of triangles ABC, CBF, and ACF are the same. (b) Find coordinates for F, and use them to calculate the exact lengths FA, FB, and FC. (c) Compare the sides of triangle ABC with the sides of triangle ACF. What do you notice?

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.3: Informal Geometry And Measurement

Problem 29E: On a piece of paper, use your compass to construct a triangle that has two sides of the same length....

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