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Per NCERT, BRAHMAGUPTA's formula generalises Heron's formula. What special case of Brahmagupta's formula gives Heron's?
ASetting d = 0 (collapsing the 4-gon to a triangle) — the semi-perimeter becomes (a+b+c)/2 and the formula reduces to √[s(s−a)(s−b)(s−c)]
BSetting all sides equal to 1
CDoubling each side
DSetting a = b = c = d
Answer & Solution
Correct answer: A. Setting d = 0 (collapsing the 4-gon to a triangle) — the semi-perimeter becomes (a+b+c)/2 and the formula reduces to √[s(s−a)(s−b)(s−c)]
Per NCERT, putting d = 0 in Brahmagupta's formula gives Heron's formula exactly. The other options miss the limiting case.
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