• Answer of this question

    Diagonals of a prallelogram
    Medhavi Dixit's image
    Medhavi Dixit

    A parallelogram is a quadrilateral whose opposite sides are parallel and equal. The opposite sides being parallel and equal, forms equal angles on the opposite sides. Diagonals of a parallelogram are the segments which connect the opposite corners of the figure. Diagonal-of-a-Parallelogram.png

    Where,
    p,q are the diagonals 
    a,b are the parallel sides

    p=root a2+b22abcos(A)                                                                                                                                  =roota2+b2+2abcos(B)
    q=root a2+b2+2abcos(A)                                                                                                                         =a2+b22abcos(B)
    p2+q2=2(a2+b2)

    Written on Feb. 3, 2021, 1:11 p.m.