Find the dimensions of the rectangle of maximum area that can be inscribed in a right triangle with legs of length a = 4 and b = 6. The sides of the rectangle are parallel to the legs of the triangle. (Use symbolic notation and fractions where needed. Enter the values for the width and height of the rectangle as a comma separated list.)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section11.6: The Pythagorean Theorem
Problem 1CE
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Find the dimensions of the rectangle of maximum area that can be inscribed in a right triangle with legs of length a =
4 and
b = 6. The sides of the rectangle are parallel to the legs of the triangle.
(Use symbolic notation and fractions where needed. Enter the values for the width and height of the rectangle as a comma
separated list.)
lengths of sides:
Transcribed Image Text:Find the dimensions of the rectangle of maximum area that can be inscribed in a right triangle with legs of length a = 4 and b = 6. The sides of the rectangle are parallel to the legs of the triangle. (Use symbolic notation and fractions where needed. Enter the values for the width and height of the rectangle as a comma separated list.) lengths of sides:
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