are of sqaure whose diagnol is 3 square root 2
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Answer:
area of square = a²
given diagonal = 3√2
using pythagorean theorem
diagonal² = base² +perpendicular²
in square all sides are equal so base = perpendicular
let the sides be a
so,
(3√2)² = 2(a)²
18 = 2(a)²
9 = a²
√9 = a
3 = a
so area of square is 3×3 = 9 unit ²
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