Question

PQRS is a rhombus. The shorter diagonals PR measures 12 units and QS =16units. The measures of angle PQR=60 degree. Find the length of a side of the rhombus

Answer 1

The diagonals bisect each other in a rhombus.

Let the diagonals meet at point o

PO=OR=6cm

QO=OS=8cm

QR=√(6²+8²) = 10cm = side of rhombus