- Let ABCD be a convex quadrilateral with AB = a, BC = b, CD = c and DA = d. Suppose
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 , 9 Years ago
Grade 11
Analytical Geometry> Let ABCD be a convex quadrilateral with A...
2 Answers
Saurabh Koranglekar
Last Activity: 5 Years ago
Vikas TU
Last Activity: 5 Years ago
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.
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