No, this triangle is not a right angled triangle because 12²≠6²+8² .
What is Pythagoras theorem?
The Pythagoras theorem states that if a triangle is right-angled, then the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Formula of Pythagoras theorem:
[tex]Hypotenuse ^{2} = Perpendicular^{2} +Base^{2}[/tex]
According to the question
The side lengths of a triangle : 6 , 8 , 12
Now according to Pythagoras theorem
If it is a right angled triangle then its sides should follow Pythagoras theorem
i.e
[tex]Hypotenuse ^{2} = Perpendicular^{2} +Base^{2}[/tex]
[tex]12 ^{2} = 8^{2} + 6^{2}[/tex]
but
144 ≠ 64 + 36
144 ≠ 100
Therefore, it is not a right angled triangle .
Hence, This side lengths of a triangle is not a right angle triangle because 12²≠6²+8² .
To know more about Pythagoras theorem here:
https://brainly.com/question/343682
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