Find the side of a square whose diagonal is of the given measure:Given= ​

10 answers
Question:

Find the side of a square whose diagonal is of the given measure: Given=

[tex]15 \sqrt{2}[/tex]


Answers

16 is the answer when multiplied by each side

15 units

Step-by-step explanation:

  15 units .

In this case, a square, the two sides of the square (forming a right triangle) are equal), and the "diagonal" forming is the hypotenuse of the right triangle.

In these cases, the measurements of the angles of the right triangle are "45, 45, 90" ; and the measurements of the sides are:  "a, a, a√2" ; in which "a√2" is the hypotenuse.

We are given:  "15√2" is the hypotenuse" ; and we are given that this is a right triangle of a square with a diagonal length (i.e. "hypotenuse" of "15√2" ; so the measure of the side of the "square" (and other two sides of the triangle formed) is:  15 units.  

b

Step-by-step explanation:

12√5

15cm

Step-by-step explanation:

Each corner of the square would be a 90° angle so half of that would be 45°.

[tex]\sin(45) \times 15 \sqrt{2} = 15cm[/tex]

15cm

Step-by-step explanation:

First, a square's diagonal is basically the hypotenuse of a 45-45-90 triangle. a 45-45-90 triangle has a really special relationship, where the side length is x, and the diagonal is x [tex]\sqrt{2}[/tex]. So, the side length is 15.

Answer with explanation:

Length of diagonal of Square =15√2 cm-------------(1)

Let side of Square = a cm

So, Length of Diagonal

By Using Pythagorean Theorem

      [tex]=\sqrt{a^2+a^2}\\\\=a\sqrt{2}[/tex]

                                              --------------------------------(2)

Equating (1) and (2)

[tex]a\sqrt{2}=15 \sqrt{2}\\\\ \text{Cancelling root 2 from both sides}\\\\a=15[/tex]

Side of Square= 15 cm


[tex]Find the side of a square whose diagonal is of the given measure. given = 15√2 cm.[/tex]

diagonal^2 = side^2 + side^2

144*10 = 2s^2

144*5 = s^2  

side = 12sqrt(5) f

Step-by-step explanation:

A square has 4 sides each of X miles. Its diagonal is X times Square Root of 2.
If the diagonal is 8 miles then 8 = xSqrt(2)
x = 8/Sqrt(2)
Rationalize the Denominator, i.e. multiply by Sqrt(2)/Sqrt(2)
X = 8Sqrt(2)/2
X = 4Sqrt(2)

Diagonal: d=a√2(a is the side)
8=a√2
a=4√2miles

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