question_answer

The diagonals of a rhombus are 16 cm and 12 cm. What is the measure of its side?

A)  10 cm                                  

B)  12 cm

C)  8 cm                                     

D)  16 cm

Correct Answer: A

Solution :

 The diagonals of a rhombus bisect each other perpendicularly. \[\therefore \] \[\Delta \text{AOB }\tilde{\ }\text{ }\Delta \text{DOC}\] is a right angled triangle with OA = 8 cm and OB = 6 cm. \[\therefore \]\[\Rightarrow \] \[\frac{AO}{OC}=\frac{BO}{OD}=\frac{AB}{DC}=\frac{1}{4}\]