An isosceles triangle with a base of length b and height of h has a rectangle inscribed. If the base of the isosceles triangle is centred on the origin, and the upper right corner of the rectangle is at (x, y), find an expression for the area of the rectangle, A(z), in terms of x, h, and b only. You may find the diagram helpful in solving the problem. You can drag the green dot to see how it affects the area. 3 h A(x) = (x, y)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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An isosceles triangle with a base of length b and height of h has a rectangle inscribed. If the base of the isosceles triangle is centred on the origin, and the upper right corner of the rectangle is at (x, y),
find an expression for the area of the rectangle, A(z), in terms of x, h, and b only.
You may find the diagram helpful in solving the problem. You can drag the green dot to see how it affects the area.
(x, y)
h
A(x) =
Transcribed Image Text:An isosceles triangle with a base of length b and height of h has a rectangle inscribed. If the base of the isosceles triangle is centred on the origin, and the upper right corner of the rectangle is at (x, y), find an expression for the area of the rectangle, A(z), in terms of x, h, and b only. You may find the diagram helpful in solving the problem. You can drag the green dot to see how it affects the area. (x, y) h A(x) =
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