the diagonal of a square is 42.3 cm long find the length of its sides and area of square
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Let side of square be x
by Pythagoras theorem,
x²+x²=(42.3)²
2x²=1789.29
x²=894.645 ..........(i)
x=√894.645cm
or x=29√53.645cm
area of square=x²
from (i),
x²=894.645
∴area of square=894.645cm²
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