Scalene triangle is a triangle with all sides of different lengths. The triangle with sides 6, 7, and 8 is a scalene triangle.
A triangle is with all the sides of different lengths is known as a scalene triangle.
A right-angle triangle is a triangle that has a right angle in it. and it follows the Pythagoras theorem. The Pythagoras theorem is given as,
[tex]\rm (Hypotenuse)^2= (Base)^2+(Perpendicular)^2[/tex]
As we know that for the triangle to be a right angle triangle it must follow the Pythagoras theorem, let's see if the triangle is a right-angle triangle,
[tex]\rm (Hypotenuse)^2= (Base)^2+(Perpendicular)^2\\\\\rm (8)^2\neq (6)^2+(7)^2\\\\64 \neq 36 +49[/tex]
Thus, the triangle is not a right-angle triangle.
A triangle is with all the sides of different lengths is known as a scalene triangle, and as we can observe that all the sides of this triangle are different. therefore, the triangle is a scalene triangle.
Hence, the triangle with sides 6, 7, and 8 is a scalene triangle.
Learn more about the Scalene triangle:
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