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Per NCERT, can the area of a general 4-gon (quadrilateral) be determined from JUST the lengths of its four sides?
AOnly for cyclic 4-gons via Brahmagupta's formula
BNo — different quadrilaterals can share the same four side lengths but have different areas (NCERT demonstrates with a 3-3-3-3 rhombus shown in three different shapes)
CYes, but only for squares
DYes — the four sides alone determine the area
Answer & Solution
Correct answer: B. No — different quadrilaterals can share the same four side lengths but have different areas (NCERT demonstrates with a 3-3-3-3 rhombus shown in three different shapes)
Per NCERT, the chapter explicitly shows three figures with sides 3-3-3-3 having different areas. We need extra info (an angle, a diagonal, or that it's cyclic).
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