The value of x in terms of l is.
[tex]x=\sqrt{5l^{2} }[/tex]
A fundamental relationship in Euclidean geometry between a right triangle's three sides is known as the Pythagorean theorem, or Pythagoras' theorem. The area of the square whose side is the hypotenuse is said to be equal to the total of the areas of the squares on the other two sides.
length = [tex]l[/tex]
width= [tex]2l[/tex]
diagonal = [tex]x[/tex]
We would get a right angle triangle if we were to cut a part across the diagonal. The Pythagoras Theorem can be used to solve the right angle triangle.
[tex]x^{2} =a^{2} +b^{2}[/tex]
using this formula substituting the value:
[tex]x^{2} =l^{2} +2l^{2}[/tex]
[tex]x^{2} =l^{2} +4l^{2} \\x^{2} =5l^{2} \\x=\sqrt{5l^{2}} \\[/tex]
from the above calculation we have:
[tex]x=\sqrt{5l^{2} }[/tex]
To know more about Pythagoras Theorem visit:
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