Suppose that the side lengths of one of a pair of 5-con trianglesare given by the numbers (a, b, c), where a1. (That is, the side lengths of the second triangle are (ka, kb, kc).) Prove that the side lengths ofthe original triangle must be of the form (a, ak, ak2), that is the side lengths must be triples from a geometric sequence.
Suppose that the side lengths of one of a pair of 5-con trianglesare given by the numbers (a, b, c), where a1. (That is, the side lengths of the second triangle are (ka, kb, kc).) Prove that the side lengths ofthe original triangle must be of the form (a, ak, ak2), that is the side lengths must be triples from a geometric sequence.
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
Section5.2: Similar Polygons
Problem 11E: a Does the similarity relationship have a reflexive property for triangles and polygons in general?...
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Suppose that the side lengths of one of a pair of 5-con trianglesare given by the numbers (a, b, c), where a<b<c. Suppose the other triangle in the 5-con pair is a scaled version of the first
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