2025 · Q58
Consider the following for the next two (02) items that follow: The perimeter of a triangle ABC is 105 cm. The altitudes AD, BE and CF are in the ratio 3 : 5 : 6. What is the approximate area of the triangle ABC?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A175 square cm
- B190 square cm
- C205 square cm
- D285 square cm
Explanation
Sides are in ratio 1/3:1/5:1/6 = 10:6:5; with perimeter 105, the multiplier is 5, giving sides 50, 30, 25. With s = 52.5, area = √(52.5×2.5×22.5×27.5) ≈ 285 cm², option (d).