7. ) How many points must you place in a square with the dimension of 3cm by 3cm to guarantee that at least two of them are less than √2 cm distance of each other? Show your how you derive at the answer stating the theorem or principle used and include diagrams if it is helpful. HINT: The formula for the hypotonus of a right-angle triangle is c = √a² + b²

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.4: Basic Constructions Justified
Problem 38E
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7.
) How many points must you place in a square with the dimension of 3cm by 3cm to
guarantee that at least two of them are less than √2 cm distance of each other? Show your how you
derive at the answer stating the theorem or principle used and include diagrams if it is helpful.
HINT: The formula for the hypotonus of a right-angle triangle is c = √a² + b²
Transcribed Image Text:7. ) How many points must you place in a square with the dimension of 3cm by 3cm to guarantee that at least two of them are less than √2 cm distance of each other? Show your how you derive at the answer stating the theorem or principle used and include diagrams if it is helpful. HINT: The formula for the hypotonus of a right-angle triangle is c = √a² + b²
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