Imagine a rectangle. Keeping the base firm, if you slide the rectangle from the top to make a parallelogram so that its area is exactly half of that of the rectangle (with same dimensions), what would be the smaller angle of that parallelogram in degrees?
+2234
The area is half.
The base is the same.
So, the height of the parallelogram has to be half the height of the rectangle.
Drop a perpendicular from the top left corner to the base. That's the Heightparallelogram.
Heightpara / Heightrect = 0.5000
Hpara / Hrect = opposite / hypotenuse = sin(Θ)
Θ = sin–1 (0.5000)
Θ = 30o
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