does a triangle with sides 6, 8, 10 have to be a right triangle(or can it be obtuse or acute)?

Guest Jul 18, 2017

This is the well known example of the 3-4-5 right angled triangle (each side is just twice 3, 4 and 5 respectively). So, yes, it must be a right angled triangle.


You can check using Pythagoras theorem: 6^2 + 8^2 → 36 + 64 → 100 and 10^2 → 100


i.e. The square on the hypotenuse is equal to the sum of the squares on the two adjacent sides (only true for right angled triangles).

Alan  Jul 18, 2017
edited by Alan  Jul 18, 2017

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