OdisP591229 OdisP591229
  • 26-10-2022
  • Mathematics
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Find the length of a side of thesquare shown below.ХX5V2x = [?]

Find the length of a side of thesquare shown belowХX5V2x class=

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BriceZ134029 BriceZ134029
  • 26-10-2022
Answer:

x = 5

Explanation:

All the sides of a square are equal

In the diagram shown, all the sides have a length x

The right-angled triangle formed form the square is drawn below

Using the Pythagoras theorem

[tex]\begin{gathered} (5\sqrt[]{2})^2=x^2+x^2 \\ 25(2)=2x^2 \\ x^2\text{ = }\frac{25(2)}{2} \\ x^2\text{ = 25} \\ x\text{ = }\sqrt[]{25} \\ x\text{ = 5} \end{gathered}[/tex]

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