6. (a) Given any right triangle, show how to obtain from it a triangle whose defect is twice as great. (b) What can be said intuitively about the relation of the areas of the two triangles? (c) Show that the problem proposed in (a) cannot be solved if the word "right" is omitted.

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
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Gans Chapter 3: Section 9.

Please do Exercise 6a only.

6a) Given any right triangle, show how to obtain from it a triangle whose defect is twice as great.

6. (a) Given any right triangle, show how to obtain from it a triangle
whose defect is twice as great. (b) What can be said intuitively about the
relation of the areas of the two triangles? (c) Show that the problem proposed
in (a) cannot be solved if the word "right" is omitted.
Transcribed Image Text:6. (a) Given any right triangle, show how to obtain from it a triangle whose defect is twice as great. (b) What can be said intuitively about the relation of the areas of the two triangles? (c) Show that the problem proposed in (a) cannot be solved if the word "right" is omitted.
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