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The length of a diagonal of a square is 10 square root of 2 inches. Find the length of one side of the square.

User Lynnie
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1 Answer

3 votes

Answer:

10inches

Explanation:

Let the length of one side of the square be a

If the diagonal of a square is 10√2 inches

According to pythagoras theorem

a²+a² = (10√2)²

2a² = 100(2)

2a² = 200

a² = 200/2

a² = 100

a = √100

a = 10

Hence the length of one side of the square is 10inches

User Oropendola
by
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