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antoniya [11.8K]
2 years ago
5

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

Mathematics
1 answer:
Sonja [21]2 years ago
6 0

By Pythagorean theorem we find that the length of the hypotenuse is r = \sqrt{2}\cdot l.

<h3>How to find the length of the hypotenuse</h3>

In the image attached we have a <em>right</em> triangle with two legs of <em>same</em> length. The hypotenuse of <em>right</em> triangles can be found by Pythagorean theorem, whose form is:

r = \sqrt{l^{2}+l^{2}}

r = \sqrt{2}\cdot l, where l is the length of the legs.

By Pythagorean theorem we find that the length of the hypotenuse is r = \sqrt{2}\cdot l.

To learn more on Pythagorean theorem: brainly.com/question/26183488

#SPJ1

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