Question

in the figure the length of each side of the Rhombus pqrs is 15 CM if the diagonal PR is equal to 24 cm find the length of the Other diagonal QS

Answer 1

so the half of one diagonal is 12cm
and the sides are 15cm
so the other diagonal QS is ----
$2( \sqrt{ {15}^{2} - {12}^{2}} )cm \\ = 2 \sqrt{225 - 144} \: cm \\ = 2 \sqrt{81} \: cm \\ = 2 \times 9cm \\ = 18cm \\ so \: the \: other \: diagonal \: of \: the \: rhombus \: will \: be \: 18cm$
here is your answer..hope it helps

Answer 2

this question is based upon the theorem that the diagonals of a rhombus bisect each othe perpendicularly.....and rest part is solved in figure...
I hope this is helpful for you...