question_answer

The length of one of the diagonals of a rhombus is\[4\text{ }cm\]. If each side of the rhombus measures \[2.5\text{ }cm,\] then what is the length of the other diagonal?

A)  5 cm                          

B)  6 cm         

C)  \[3.5\text{ }cm\]                     

D)  \[3\text{ }cm\]

Correct Answer: D

Solution :

(d): In a rhombus, diagonals are \[\bot \] lar to each others. In right \[\Delta \,\,le\] SOR, so \[=\sqrt{{{2.5}^{2}}-{{2}^{2}}}=1.5\] \[\Rightarrow \] other diagonal \[=3\text{ }cm\]