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lys-0071 [83]
3 years ago
9

The length of the diagonal of a square is 6√2. What is the length of one side?

Mathematics
2 answers:
Aliun [14]3 years ago
6 0

Answer:

6

Step-by-step explanation:

The diagonal of the square represents the hypotenuse of a right triangle formed by the diagonal and 2 sides of the square.

Using Pythagoras' theorem

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the side of the square then

x² + x² = ( 6\sqrt{2})²

2x² = 72 ( divide both sides by 2 )

x² = 36 ( take the square root of both sides )

x = \sqrt{36} = 6

Maurinko [17]3 years ago
3 0

Answer:

6

Step-by-step explanation:

Given in the question that,

length of the diagonal of a square = 6√2

As we know that a square have all lengths equal in size and lengths are perpendicular to each other so to solve this question we will use pythagorus theorem

hypotenuse² = base² + height²

here,

hypotenuse is the diagonal of the square

base and height side length of the square

Plug value in the formula

6√2² = l² + l²

36(2) = 2l²

72 = 2l²

l² = 72/2

l² = 36

take square root on both sides of the equation

l = √36

<h3>l = 6</h3>

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