If the length of one leg in this triangle is .find the length of the hypotenuse.

By Pythagorean theorem we find that the length of the hypotenuse is [tex]r = \sqrt{2}\cdot l[/tex].
In the image attached we have a right triangle with two legs of same length. The hypotenuse of right triangles can be found by Pythagorean theorem, whose form is:
[tex]r = \sqrt{l^{2}+l^{2}}[/tex]
[tex]r = \sqrt{2}\cdot l[/tex], where l is the length of the legs.
By Pythagorean theorem we find that the length of the hypotenuse is [tex]r = \sqrt{2}\cdot l[/tex].
To learn more on Pythagorean theorem: https://brainly.com/question/26183488
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