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harshit agarwal Grade: 12
        

Let ABCD be a parallelogram whose diagonals equations are: AC:x+2y=3; BD: 2x+y=3. if length of diagonal AC=4 units and area of ABCD =8 units. Find the length of BD, AB and BC.

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear harshit


point of intersection of these two line are (1,1)


digonal cut each other at mid point


length of second digonal


area=1/2 *d1 *d2 *sinθ     where θ is angel between these two lines


   8 =1/2 *4 *d2 *3/5


d2=20/3


BD=20/3


now you can find the point on line AC which is at d1/2=2 unit in both the direction of point (1,1)


 these points will be A and C


similarly  you can find the point on line BD which is at d2/2=10/3 unit in both the direction of point (1,1)


 these points will be Band D


once you know the point you can easly find the length of sides





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Badiuddin

7 years ago
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