Given 3 sides of a triangle - how to tell it right, acute, or obtuse 8,11, 16

Using Pythagorean theorem, we can justify our answer.

if c^2 = a^2 + b^2 then triangle is right one,

if c^2 > a^2 + b^2 then triangle is obtuse and

if c^2 < a^2 + b^2 then triangle is acute triangle.

Here a=8, b=11 and c=16

Put these values in the equation

16^2 = 8 ^2 + 11^2

256 = 64 + 121

256> 185

So here c^2 > a^2 + b^2 Which means triangle is obtuse triangle.

Answer: Obtuse Triangle