Suppose a rectangle is inscribed within an isosceles triangle, a triangle which has base of length 2b and height h. Let T be the area of the triangle, and let Rm be the maximal area of the rectangle. What is the value, in terms of b and h, of the ratio T/Rm? Hints: 1. Draw a picture – it's going to help a lot.
Suppose a rectangle is inscribed within an isosceles triangle, a triangle which has base of length 2b and height h. Let T be the area of the triangle, and let Rm be the maximal area of the rectangle. What is the value, in terms of b and h, of the ratio T/Rm? Hints: 1. Draw a picture – it's going to help a lot.
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
Section3.5: Inequalities In A Triangles
Problem 39E
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