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Use Pythagoras' theorem:
a^2 + b^2 = c^2
Sub the values in:
10^2 + 10^2 = c^2
200 = c^2
Square root to find the answer:
c = 14.14
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The length of the diagonals of the square is equal to 14.142 or [tex]10\sqrt{2}[/tex] meters.
Given the following data:
To calculate the length of the diagonals of the square:
In order to find the length of the diagonals of the square, we would multiply the one side of the square by the square root of 2.
Mathematically, this is given by the formula:
[tex]Diagonal = length \times \sqrt{2}[/tex]
Substituting the given parameters into the formula, we have;
[tex]Diagonal = 10 \times \sqrt{2}\\\\Diagonal = 10 \times 1.4142[/tex]
Diagonal = 14.142 meters.
Find more information: https://brainly.com/question/11037225
