The sides of a triangle are in the ratio 3 : 4 : 5 and its perimeter is 144 cm. What is the area of the triangle?
A432 cm²
B864 cm²
C1080 cm²
D1152 cm²
Explanation
3x + 4x + 5x = 144 => 12x = 144 => x = 12. Sides are 36, 48, 60. Since 36^2 + 48^2 = 60^2, it is a right-angled triangle. Area = 0.5 * 36 * 48 = 864 cm².
Exam Relevance
- Topic: Geometry & Mensuration
- Subtopic: Triangles
No Comments