The lengths of the diagonals of a rhombus are 12 cm and 16 cm. Find the each side of rhombus

Options

A. 10 cm
B. 12 cm
C. 9 cm
D. 8 cm

Answer

A

Explanation

We know that the diagonals of a rhombus bisect each other at right angles.
`therefore OA=8 cm , OB=6 cm and angle AOB =90^(@).`
`therefore AB^(2)=(OA^(2)+OB^(2))=(8^(2)+6^(2))cm^(2)=(64+36)cm^(2)=100cm^(2)`
`rArr AB=sqrt(100) cm =10 cm.`
So, each side `=10cm.`