2019 · Q51
If the length of the hypotenuse of a right-angled triangle is 10 cm, then what is the maximum area of such a right-angled triangle?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A100 cm²
- B50 cm²
- C25 cm²
- D10 cm²
Explanation
For fixed hypotenuse, area is maximal for the isosceles right triangle with legs 10/sqrt(2). Max area = (1/2)x(10/sqrt(2))^2 = 25 cm^2.