Prove that of all triangles having two given sides of lengths a and b, the one whose sides form a right angle encompasses the maximum possible area.
Prove that of all triangles having two given sides of lengths a and b, the one whose sides form a right angle encompasses the maximum possible area.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter11: Introduction To Trigonometry
Section11.4: Applications With Acute Triangles
Problem 45E
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Prove that of all triangles having two given sides
of lengths a and b, the one whose sides form a
right angle encompasses the maximum possible
area.
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