One diagonal of a rhombus is 8 cm. If the other diagonal is equal to its side, then the area (in cm2) of the rhombus is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 32.
Area of a rhombus = 1/2 × Diagonal1 × Diagonal2
By Pythagoras theorem
a2 = a2/4 + (4√3)2
⇒ a2 = 64
⇒ a = 8 cm = D2
The area of the rhombus = 1/2 × 8 × 8√3
⇒ 32√3 sq. cm