Question

If the diagonal of square is root 6 units then determine area of square

Answer 1

Area of square = d²/2 = (√6)²/2 = 6/2 = 3 unit²

Answer 2

we know that length of diagonal of sq is √2 times the length of side.
so, area of square = (length of side)²
= {(length of diagonal)/√2}²
= 1/2(length of diagonal)²

given length of diagonal = √6
hence area of square = 1/2(√6)²
= 1/2(6)
= 3 units²

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