Question

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

Answer 1

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