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The Pythagorean theorem exists as a basic connection between the three sides of a right triangle. The length of one leg of the triangle exists 2√2 cm.
What is Pythagoras theorem?
The Pythagorean theorem, commonly comprehended as Pythagoras' theorem, exists as a basic connection between the three sides of a right triangle in Euclidean geometry. The size of the square whose side exists the hypotenuse exists equivalent to the totality of the areas of the squares on the other two sides, according to this rule.
[tex]$(\text { Hypotenuse })^{2}=(\text { Perpendicular })^{2}+(\text { Base })^{2}$[/tex]
The length of the perpendicular is x.
Given the length of the hypotenuse exists 4 centimeters, while the length of the other two sides exists the identical, thus, the length of the other two sides exists x.
By, using the Pythagoras theorem we can write,
[tex]$(\text { Hypotenuse })^{2}=(\text { Perpendicular })^{2}+(\text { Base })^{2}$[/tex]
[tex]${data-answer}amp;4^{2}=x^{2}+x^{2} \\[/tex]
[tex]${data-answer}amp;16=2 x^{2} \\[/tex]
[tex]${data-answer}amp;8=x^{2} \\[/tex]
[tex]${data-answer}amp;x=2 \sqrt{2}[/tex]
Hence, the length of one leg of the triangle exists [tex]$2 \sqrt{2} \mathrm{~cm}$[/tex].
To learn more about Pythagoras Theorem:
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