The value of x is .[tex]\sqrt{170}[/tex]
What is Pythagorean Theorem?
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic Euclidean geometry relationship between a right triangle's three sides. According to this rule, the area of the square with the hypotenuse side is equal to the sum of the areas of the squares with the other two sides.
Here, the two sides of the triangle are, 7 and 11.
By Pythagorean theorem,
[tex]7^2 + 11^2 = x^2\\49 + 121 =x^2 \\170 = x^2\\x = \sqrt{170} \\[/tex]
Hence, the value of x is [tex]\sqrt{170}[/tex].
Here, the sum of two sides of triangle is not a perfect square.
Therefore, the side lengths is not a Pythagorean triple.
To know more about the Pythagorean theorem, click on the link
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