Discussion
The diagonals of a rhombus are 15 cm and 20 cm. Find its area?
Answer: C
\[ A = \frac{1}{2} d_{1} d_{2} = \frac{1}{2} \times 15 \times 20 = 150 \text{ cm}^{2} \]
The half-product formula works because the perpendicular diagonals cut the rhombus into four right triangles, each of area \( \tfrac{1}{2} \times \tfrac{d_{1}}{2} \times \tfrac{d_{2}}{2} \). Omitting the half gives 300, the second option.
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