Question

If a rhombus AJUN has AU = 24 cm and JN = 10 cm, then the length of the side of the rhombus is

• A. 12 cm
• B. 11 cm
• C. 13 cm
• D. 14 cm

Answer 1

The correct option is C 13 cm

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

AU = 24 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, length of each side is 13 cm