2018 · Q94
A square and an equilateral triangle have the same perimeter. If the diagonal of the square is 6√2 cm, then what is the area of the triangle?
Elementary MathematicsMensuration
- A12√2 cm²
- B12√3 cm²
- C16√2 cm²
- D16√3 cm²
Explanation
Square diagonal 6√2 gives side 6 and perimeter 24. The equilateral triangle then has side 24/3 = 8, and area (√3/4) × 64 = 16√3 cm², option (D).