2025 · Q67
ABC is a triangle right-angled at B. (AB+BC) exceeds AC by 10 units. If the perimeter is 60 units, what is the area?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A75
- B100
- C125
- D150
Explanation
Let s=AB+BC, h=AC: s-h=10, s+h=60 gives s=35, h=25. Then AB^2+BC^2=s^2-4*Area=625 gives 1225-4*Area=625, so Area=150. Using the perimeter directly without splitting s and h stalls the solution.