2012 · Q3
The sides of a triangle GHL are GH = 65 m, HL = 75 m and LG = 80 m. What is the area of this triangle ?
General Mental Ability, Quantitative Aptitude and StatisticsTime, work and measurement
- A2100 m²
- B2160 m²
- C2200 m²
- D2280 m²
Explanation
The semi-perimeter is s = (65 + 75 + 80)/2 = 110 m. By Heron's formula, area = √[s(s − a)(s − b)(s − c)] = √(110 × 45 × 35 × 30) = √5,197,500 ≈ 2,279.8 m². The closest option is 2,280 m². The remaining options do not satisfy Heron's formula for these side lengths.