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  1. Let ABCD be a convex quadrilateral with AB = a, BC = b, CD = c and DA = d. Suppose a^2 and the area of ABCD is 60 square units. If the length of one of the diagonals is 30 unit, determine the length of the other diagonal.

abuzar , 10 Years ago
Grade 11
anser 2 Answers
Saurabh Koranglekar
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Last Activity: 5 Years ago
Vikas TU
a^2+b^2+c^2+d^2 = ab+bc+cd+da ) (a - b)2+(b - c)2+(c - d)2+(d - a)2 = 0 ) a = b = c = d.   Thus ABCD is a rhombus and   [ABCD] = (1/2)(d1d2) .....(1) where d1 and d2 are the lengths of the diagonals. Hence d2 = (2[ABCD])/d1 = 4units.
Last Activity: 5 Years ago
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