A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the rectangle is the intersection point of the legs of the triangle and the opposite vertex lies on the hypotenuse. Find the largest area (in cm²) of the rectangle and its dimensions (in cm) given that the two equal legs of the triangle have length 2. Area = 1 cm² Width = 1 cm Length = 1| cm

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.CR: Review Exercises
Problem 38CR: Prove that if semicircles are constructed on each of the sides of a right triangle, then the area of...
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A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the rectangle is the intersection point
of the legs of the triangle and the opposite vertex lies on the hypotenuse. Find the largest area (in cm²) of the rectangle and its
dimensions (in cm) given that the two equal legs of the triangle have length 2.
Area = 1
cm²
Width =
1
cm
Length = 1|
cm
Transcribed Image Text:A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the rectangle is the intersection point of the legs of the triangle and the opposite vertex lies on the hypotenuse. Find the largest area (in cm²) of the rectangle and its dimensions (in cm) given that the two equal legs of the triangle have length 2. Area = 1 cm² Width = 1 cm Length = 1| cm
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