Question

each side of a rhombus is 13 centimetre and one diagonal is 10 centimetre find 1)the length of its other diagonal 2) to the area of the Rhombus

Answer 1

The diagonals of rhombus bisect each other at right angle.  Let ABCD is a rhombus with diagonals AC and BD which intersect each other at O. AC = 10 cm , OA =1/2×AC=  OA= (½) × 10= 5 cm OA= 5 cm   AB = 13 cm (given)   In ∆ AOB By Pythagorean theorem  AB²= 0B²+ OA² 13² = OB² + 5² 169 = OB² + 25  OB²= 169 – 25 OB² =144 OB= √144  OB= 12 cm Diagonal BD = 2 x 12= 24 cm  Hence, the length of other Diagonal = 24 cm  HOPE THIS WILL HELP YOU....