Question

Find the length of the side of a rhombus AJUN if the diagonals AU and JN are 24 and 10 cm long respectively.

• A. 13

Answer 1

The correct option is A 13

We know that diagonals of a rhombus are perpendicular to each other and they bisect each other.

AU = 14 cm

OA = OU = 12 cm

JN = 10 cm

OJ = ON = 5 cm

${OJ}^2$+ ${OU}^2={JU}^2$

$5^2$+ ${12}^2={JU}^2$

$25+144={JU}^2$

$169={JU}^2$

JU = 13 cm

So, the side length is 13 cm.