Find perimeter of a trapezium with 3 sides given and distance b/w parallel sides given.
Let the given sides be a,b,c and distance b/w parallel lines be h. How to go about this problem?
Find perimeter of a trapezium with 3 sides given and distance b/w parallel sides given.
Let the given sides be a,b,c and distance b/w parallel lines be h. How to go about this problem?
There are four possible variatoins for the given situation:
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Thus, depending on which of these variations holds, we get the perimeter to be one of the four following values:
$ 2a+b+c\pm x_b\pm x_c=2a+b+c\pm\sqrt{b^2-h^2}\pm\sqrt{c^2-h^2} $
x1 = root(b^2-h^2) , similarly x2 , d = x1+x2+a . s = a+b+c+d.