a) A triangle is inscribed in a semi-circle, its hypotenuse lies on the diameter of the semi-circle. If the radius of the semi-circle is 4 units, what are the dimensions of the triangle of greatest area?

a) A triangle is inscribed in a semi-circle, its hypotenuse lies on the diameter of the semi-circle. If the radius of the semi-circle is 4 units, what are the dimensions of the triangle of greatest 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.

Chapter8: Areas Of Polygons And Circles

Section8.5: More Area Relationships In The Circle

Problem 14E: A circle is inscribed in a triangle having sides of lengths 5 in., 12 in., and 13 in. If the length...

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a) A triangle is inscribed in a semi-circle, its hypotenuse lies on the diameter of the semi-circle. If
the radius of the semi-circle is 4 units, what are the dimensions of the triangle of greatest area?

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