Question

Classify the triangle based on the side lengths 10, 12 and 23.

Answer 1

I am assuming 10 and 12 are the legs and 23 is the hypotenuse?

With that said, we can use the pythagorean theorem  a^2+b^2=c^2  

a^2+b^2=c^2   = Right triangle
a^2+b^2 < c^2   = abtuse
a^2+b^2 > c^2  = acute

10^2 + 12^2 =  23^2
244 = 529
244 < 529

It is abtuse