Side of rhombus is 5cm and sum of lengths of diagonals is
12cm. what is the area of rhombus?
Answer Posted / arun
area of a rhomgus is 1/2 d1*d2; it's given d1+d2 = 12
(d1+d2)^2=d1^2 + d2^2 + 2*d1*d2
since diagonals are perpendicular to each other
(d1^2 + d2^2)/4 = 5^2 = 25
therefore, (d1+d2)^2 = 100 + 2d1d2;
which gives d1d2 = 22
so area = 11 cm sq
Is This Answer Correct ? | 11 Yes | 3 No |
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