A  rectangle is to fit inside a scalene triangle of lengths 7,4,and 5 units. What is the maximum area of this rectangle?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
Problem 19E: The legs of an isosceles triangle each measure 10 cm. What are the limit of the length of the base.
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A  rectangle is to fit inside a scalene triangle of lengths 7,4,and 5 units. What is the maximum area of this rectangle?

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Sketch the graph of the rectangle inside the scalene triangle of lengths 7, 4, and 5 units as shown below:

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