The sets
and
could be used to form a right triangle.
What is right triangle?
A right triangle, also known as a right-angled triangle, an orthogonal triangle, or historically a rectangled triangle, is a triangle with one right angle, meaning that its two sides are perpendicular. Trigonometry's foundation is the relationship between the right triangle's sides and other angles.
Since for the right triangle is a, b, c are three sides of a triangle, where c is the diagonal, then
![a^2 + b^2 = c^2](https://tex.z-dn.net/?f=a%5E2%20%2B%20b%5E2%20%3D%20c%5E2)
Consider, the set (3, 5, 8)
Here, 3^2 + 5^2 ≠ 8^2.
Consider, the set (8, 9, 11)
Here, 8^2 + 9^2 ≠ 11^2
Consider, the set ![(\sqrt{7}, 4, \sqrt{23})](https://tex.z-dn.net/?f=%28%5Csqrt%7B7%7D%2C%204%2C%20%5Csqrt%7B23%7D%29)
Here, ![(\sqrt{7})^2 + 4^2 = (\sqrt{23})^2](https://tex.z-dn.net/?f=%28%5Csqrt%7B7%7D%29%5E2%20%2B%204%5E2%20%3D%20%28%5Csqrt%7B23%7D%29%5E2)
Consider, the set ![(\sqrt{29}, \sqrt{39}, 68)](https://tex.z-dn.net/?f=%28%5Csqrt%7B29%7D%2C%20%5Csqrt%7B39%7D%2C%2068%29)
Here, ![(\sqrt{29})^2 + (\sqrt{39})^2 = 68](https://tex.z-dn.net/?f=%28%5Csqrt%7B29%7D%29%5E2%20%2B%20%28%5Csqrt%7B39%7D%29%5E2%20%3D%2068)
Hence,
,
could be used to form a right triangle.
To know more about the right triangle, click on the link
brainly.com/question/2437195
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