Recent content by galneweinhaw

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    Finding the dimensions of a rotated rectangle inside another rectangle.

    Further simplifying... X = hsin\theta + wcos\theta Y = wsin\theta + hcos\theta LOL... I could have pulled that directly off the diagram! well, at tleast I know my algebra is sound =P
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    Finding the dimensions of a rotated rectangle inside another rectangle.

    eliminating x1,x2,y1,y2 I get... XY = \frac{(w^2+h^2)tan\theta}{1+tan^2\theta} + hw X = \frac{htan\theta + w}{\sqrt{1+tan^2\theta}} Y = \frac{wtan\theta + h}{\sqrt{1+tan^2\theta}} edit: sub some trig identities XY = (w^2+h^2)sin\theta cos\theta + hw X = (htan\theta +...
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    Finding the dimensions of a rotated rectangle inside another rectangle.

    ok... I think I have something that should be able to go somewhere... Here's a relabelled image: http://img7.imageshack.us/img7/764/rectb.jpg ɵ, X, and Y are known, trying to find h and w. y1, y2, x1, x2, w, and h are the unknowns (6) I can get seven equations: w2 = x22+y12...
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    Finding the dimensions of a rotated rectangle inside another rectangle.

    oh, I've been trying for a couple hours. But I haven't really made it anywhere =(
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    Finding the dimensions of a rotated rectangle inside another rectangle.

    Homework Statement If I have a rectangle rotated at a known angle with respect to a rectangle of known dimensions that inscribes it, how can I find the dimensions of the inscribed/inner rectangle...