if the length of a diagonal of a square is 8cm find the length of side of the square
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Answer:
√32 cm.
Step-by-step explanation:
Let one of the side of the Square be: x.
Diagonal of the Square: 8cm.
Using Pythagoras Theorum, we get,
h^2 = p^2 + b^2
→8^2 = x^2 + x^2
→64 = 2x^2
{Transposing 2 to LHS...}
→64/2 = x^2
→32 = x^2
{Taking Root of both sides...}
→√32 = √(x^2)
→√32 = x
→x = √32
Hence, Length of each side of the Square is √32 cm.
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