Question

If a² + b² + c² = 8r² then prove that the triangle is right angle

Answer 1

If ABC is right angled, then by Pythagoras law, then a^2 + b^2 = c^2. So, since a constant 8R^2 is present in the equation, it is not a right angled triangle.  

Please verify.  

Here we may take  

2c^2 = 8R^2  

so c^2 = 4R^2  

so c = 2R.