2025 · Q73
A circle is inscribed in an equilateral triangle. The radius of the circle is 2 cm. What is the area of the triangle?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A12√3 square cm
- B12 square cm
- C9√3 square cm
- D9 square cm
Explanation
For an equilateral triangle, r = a/(2√3), so a = 2√3 × 2 = 4√3 cm. Area = (√3/4)a² = (√3/4)(48) = 12√3 cm², option (a).