Mathematics, 23.01.2020 22:31 jdsfdujfi8572

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

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Answer from: cerna

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

l = 6

Answer from: jaz279

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

Answer from: Quest

Okay so for every triangle has three angles that always add up to 180 degrees. and to tell the difference between whether they are secure, right or obtuse is that acute: has one angle that is less than 90 degrees. right triangle means there is at least one angle that is exactly 90 degrees. and an obtuse angle has an angle that is bigger than 180 degrees. i’ll do #13 as an example: 13. 40 and 50 so if every triangle has 180 degrees 40+50= 90 degrees then180-90= 90 degrees so the third angle is 90 degrees and because this triangle has a 90 degree angle it means it is a right triangle

Answer from: Quest

The first one, i believe, would be correct. all the others have one thing in common, and that's that they have repeating numbers. in the second one, x and y have repeating 6's and 3's, and in the third, x and y have repeating 6's as well. in the last one, there are repeating 3's. the first one has no repeating numbers.
Which table shows a proportional relationship between x and y

Which table shows a proportional relationship between x and y

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