question_answer

If one side of a rhombus has end points (4, 5) and (1, 1), then the maximum area of the rhombus is

A) 50 sq units

B)  25 sq units

C)  30 sq units

D)  20 sq units

Correct Answer: B

Solution :

From the figure, Area of rhombus \[=2\times \](area of\[\Delta ABD\]) \[=2\times \frac{1}{2}\times 5\times 5\times \sin \theta =25\sin \theta \] Hence, maximum area is 25 sq units (when \[\sin \theta =1\]).