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Citrus2011 [14]
2 years ago
5

The diagonal of a square is 60 in, as shown

Mathematics
1 answer:
andre [41]2 years ago
5 0

Answer:

The length of side is 42.4 inches.

Step-by-step explanation:

Given that:

Diagonal of square = 60 inches

As all sides of a square are equal, thus

Side of square = x

The diagonal will be the hypotenuse of a right angled triangle.

Using Pythagorean theorem;

x^2+x^2=(60)^2\\2x^2=3600\\x^2=\frac{3600}{2}\\x^2=1800

Taking square root on both sides

\sqrt{x^2}=\sqrt{1800}\\x=42.4

Hence,

The length of side is 42.4 inches.

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