2024 · Q50
What is the area of a triangle having sides 4, 4 and 6 units?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A3√7 square unit
- B8 square unit
- C7 square unit
- D7√3 square unit
Explanation
The semiperimeter is s = (4+4+6)/2 = 7. By Heron's formula, area = √(s(s−a)(s−b)(s−c)) = √(7×3×3×1) = √63. Simplifying √63 = 3√7 gives the area 3√7 square units — option A.