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The coordinates of the vertices of a parallelogram ABCD are A(0,0) B(b,y), C(a+b,y) and D(a,0). If ABCD is a rhombus, how would you express y in terms of a and b?

1 Answer

Vinícius Ferraz

Dec 11, 2015

#y = sqrt{a^2 - b^2}#

Explanation:

#|AB|^2 = b^2 + y^2#

#|BC|^2 = a^2#

#|CD|^2 = b^2 + y^2#

#|DA|^2 = a^2 = b^2 + y^2#

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