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 maximum area ?
A.24/7 cm
B.96/7 cm✓ Correct
C.24 cm
D.32 cm
Explanation
For a right triangle with legs a = 6 and b = 8, the side of the largest square inscribed with one side on a leg has side s = ab/(a+b) = 48/14 = 24/7. Perimeter = 4s = 96/7 cm.
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