Paul has 20 thin rods whose lengths, in centimetres are 1, 2, 3, ..., 20. Any two rods can be connected at their ends. Paul selects three rods to make a triangle, then three other rods to make a second triangle, and so on. Paul wants to use 18 rods to form a set of six triangles with equal perimeters. Either find such a set or explain why no such set exists.
Paul has 20 thin rods whose lengths, in centimetres are 1, 2, 3, ..., 20. Any two rods can be connected at their ends. Paul selects three rods to make a triangle, then three other rods to make a second triangle, and so on. Paul wants to use 18 rods to form a set of six triangles with equal perimeters. Either find such a set or explain why no such set exists.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.2: The Parallelogram And Kite
Problem 5E: A carpenter lays out boards of lengths 8 ft, 8 ft, 4 ft, and 4 ft by placing them end to end. a If...
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Paul has 20 thin rods whose lengths, in centimetres are 1, 2, 3, ..., 20. Any two rods can be connected at their ends. Paul selects three rods to make a triangle, then three other rods to make a second triangle, and so on.
Paul wants to use 18 rods to form a set of six triangles with equal perimeters. Either find such a set or explain why no such set exists.
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