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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.4 - Problem 46e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.4 - Problem 46e

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# Rectangles in triangles Find the dimensions and area of

ISBN: 9780321570567 2

## Solution for problem 46E Chapter 4.4

Calculus: Early Transcendentals | 1st Edition

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Problem 46E

Rectangles in triangles Find the dimensions and area of the rectangle of maximum area that can be inscribed in the following figures. a. A right triangle with a given hypotenuse length ?L b. An equilateral triangle with a given side length ?L c. A right triangle with a given area ?A d. An arbitrary triangle with? a given area ?A (The result applies to any triangle, but first consider triangles for which all the angles are less than or equal to 90°.)

Step-by-Step Solution:

Solution 46E Step 1 (a onsider a right triangle with a hypotenuse le ngth . Find the dimension and area of the rectangle of maximum area that can be inscribed into it Draw a rectangle inside a right angled triangle with the hypotenuse length . The length of the re tangle i and width is y.

Step 2 of 5

Step 3 of 5

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