The area of the rhombus in the simplest radical form is 87 units²
Properties of a rhombus
- All the sides are equal.
- Opposite sides are parallel.
- Diagonals are perpendicular to each other.
- Opposite angles are equal.
Therefore,
area of the rhombus = ab / 2
where
- a and b are the diagonals
Therefore,
tan 60 = x / 5
x = 5 tan 60
x = 8.66025403784
x = 8.7 units
area of the rhombus = (8.7 ×2) (5 × 2) / 2 = 17.4 (10) / 2 = 87 units²
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