Question

using pythagorean inequalities, determine which set of the given three sides produces an acute triangle.

Answer 1

To solve this problem, you need to use the Phythagorean theorem c^2 is equal to the sum of a^2 and b^2. If a less than or equal to b and b is less than or equal to c or a^2 plus  b^2  is greater than c^2 then it is an acute angle. 

Answer 2

pythagorean inequalities includes 3 cases assuming a , b ,c are three sides of the triangle
 
if c^2>a^2+b^2 then its obtuse
if c^2<a^2+b^2 then its acute
if c^2=a^2+b^2 then its right