The technique of boxing in a triangle and determing its area by using rectangle and right triangle areas on a graph can be used with all real number coordinates (including fractions and decimals). However, if th coordinates of the vertices happen to be integers, what can you definitively say about the area of the triangle and why?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.3: Proving Triangles Similar
Problem 41E: Prove that the altitude drawn to the hypotenuse of a right triangle separates the right triangle...
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The technique of boxing in a triangle and determing its area by using rectangle and right triangle areas on a graph can be used with all real number coordinates (including fractions and decimals). However, if th coordinates of the vertices happen to be integers, what can you definitively say about the area of the triangle and why?

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