ABC is a right-angled triangle, right-angled at B such that AB=6 cm and BC=8 cm. What is the perimeter of the square inscribed in the triangle ABC with <strong>MAXIMUM</strong> area?
- A. 24/7 cm
- B. 96/7 cm ✓
- C. 24 cm
- D. 32 cm
Correct Answer: B. 96/7 cm
Explanation
The maximum area square inscribed in a right triangle sharing the right angle has side length x = \frac{ab}{a+b}. Here a=6, b=8, so x = \frac{48}{14} = \frac{24}{7}. The perimeter is 4x = \frac{96}{7} cm.
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