)The other triangle has side lengths 8, 12, and 11.

Compute the sum of the squares of the shorter lengths.

8^2 + 11^2 =

Compute the square of the longest length.

12^2 =

What kind of triangle is it?
Acute triangle
Right triangle
Obtuse triangle

8^2 + 11^2 = 64 + 121 = 185

12^2 = 144

Since 8^2 + 11^2 < 12^2, the triangle is an obtuse triangle.