InterviewSolution
Saved Bookmarks
| 1. |
1). 62). 9√33). 124). 12√3 |
|
Answer» Let ABCD be the given rhombus. And AC be the bigger diagonal. So, AB = BD = 4 cm So, ΔABD is an EQUILATERAL triangle ⇒ Ar (ΔABD) = √3 (side)2/4 ⇒ Ar (ΔABD) = 4√3 Now, Ar (rhombus ABCD) = 2 [Ar (ΔABD)] ⇒ Ar (rhombus ABCD) = 8√3 Also, Ar (rhombus ABCD) = ( 1/2) × AC ×BD ⇒ (1/2) × AC × BD = 8√3 ⇒ AC = (8√3 × 2)/4 = 4√3 Now, AC is the side of new equilateral Δ ⇒ Area of new triangle = [√3 × (4√3)2]/4 ⇒ REQUIRED area = 12√3 cm2 ∴ the correct option is 4) |
|