Acute triangles- all three angles are acute (less than 90 degrees).
Right triangles- have one right angle and two acute angles.
Obtuse triangles- have one obtuse angle (greater than 90 degrees) and two acute angles.
Equilateral triangles- all three sides congruent sides.
Isosceles triangles- have at least two congruent sides.
Scalene triangles- all 3 sides different lengths.
Practice Problems
Classify the following triangles by their sides and angles.
\(\textbf{1)}\)

Right Scalene Triangle
\(\textbf{2)}\)

Equilateral (Acute) Triangle
Grace says “also an Isosceles Triangle.” Grace is correct.
Grace says “also an Isosceles Triangle.” Grace is correct.
\(\textbf{3)}\)

Acute Isosceles Triangle
\(\textbf{4)}\)

Obtuse Isosceles Triangle
\(\textbf{5)}\)

Right Isosceles Triangle
\(\textbf{6)}\)

Right Scalene Triangle
\(\textbf{7)}\)

Equilateral (Acute) Triangle
\(\textbf{8)}\)

Acute Scalene Triangle
\(\textbf{9)}\)
Obtuse Isosceles Triangle
\(\textbf{10)}\)

Equilateral (Acute) Triangle
\(\textbf{11)}\)

Right Isosceles Triangle
\(\textbf{12)}\)

Right Scalene Triangle

