2019 · Q63
If one side of a right-angled triangle (with all sides integers) is 15 cm, then what is the maximum perimeter of the triangle?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A240 cm
- B225 cm
- C113 cm
- D112 cm
Explanation
Integer right triangles with leg 15: (9,12,15), (15,20,25), (15,8,17), (15,36,39), (15,112,113). The last has the largest perimeter: 15+112+113 = 240 cm.