EQUILATERAL TRIANGLE
In the equilateral triangle, all the sides are the same length (congruent) and all the angles are the same size (congruent). Since the sum of the angles of a triangle is always 180 degrees, we can figure out the measure of the angles of an equilateral triangle: 
The isosceles triangle has two sides that are the same length (congruent) and two angles that are the same size (congruent).
No equal sides
Acute triangles have NO angles greater than or equal to 90 degrees -- all their angles are less than 90 degrees. (Acute triangles have all acute angles.)
The right triangle has one 90 degree angle and two acute (< 90 degree) angles. Since the sum of the angles of a triangle is always 180 degrees: y + z = 90 degrees. The two sides of the triangle that are by the right angle are called the legs... and the side opposite of the right angle is called the hypotenuse.
Obtuse triangles have one angle that is greater than 90 degrees. (Obtuse triangles have one obtuse angle.)
In the equilateral triangle, all the sides are the same length (congruent) and all the angles are the same size (congruent). Since the sum of the angles of a triangle is always 180 degrees, we can figure out the measure of the angles of an equilateral triangle:
ISOSCELES TRIANGLE
The isosceles triangle has two sides that are the same length (congruent) and two angles that are the same size (congruent).
SCALENE TRIANGLE
No equal sides
No equal angles
ACUTE TRIANGLE
Acute triangles have NO angles greater than or equal to 90 degrees -- all their angles are less than 90 degrees. (Acute triangles have all acute angles.)
RIGHT TRIANGLE
The right triangle has one 90 degree angle and two acute (< 90 degree) angles. Since the sum of the angles of a triangle is always 180 degrees: y + z = 90 degrees. The two sides of the triangle that are by the right angle are called the legs... and the side opposite of the right angle is called the hypotenuse.
OBTUSE TRIANGLE
Obtuse triangles have one angle that is greater than 90 degrees. (Obtuse triangles have one obtuse angle.)
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