2025 · Q74
The sides of a triangle are k, 1·5k and 2·25k. What is the sum of the squares of its medians?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A359k²/64
- B379k²/64
- C389k²/64
- D399k²/64
Explanation
Sum of squares of medians = (3/4)(a²+b²+c²) = (3/4)k²(1 + 2.25 + 5.0625) = (3/4)(133/16)k² = 399k²/64, option (d).