Question
Download Solution PDFOne diagonal of a rhombus is 8√3 cm. If the other diagonal is equal to its side, then the area (in cm2 ) of the rhombus is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
D1 = 8√3 cm , D2 = side of the rhombus = a
Concept:
The diagonals of a rhombus bisect each other at right angles.
Formula used:
Area of a rhombus = 1/2 × Diagonal1 × Diagonal2
Calculation:
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
Last updated on May 28, 2025
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