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Transcript 
Reviewing Types of Triangles
Triangles are classified in two general ways: by their sides and by their angles.
First, we'll classify by sides:
A triangle with three sides of different lengths is called a scalene triangle. An
isosceles triangle has just two equal sides, called legs. The third side is called the
base. The angles that are opposite the equal sides are also equal. An equilateral
triangle has three equal sides. In this type of triangle, the angles are also equal, so it
can also be called an equiangular triangle. Each angle of an equilateral triangle must
measure 60 degrees, since the sum of the interior angles of any triangle must equal
180 degrees.
Now let's classify by angles.
An acute triangle has three acute angles, or three angles with a measure of less
than 90 degrees. An obtuse triangle has one angle that is greater than 90 degrees.
If one of the angles in a triangle is a right angle, then the triangle is called a right
triangle. Notice we draw a square at vertex C to show a right angle.
You can use two labels for a triangle. For example, triangle MNO is both an acute and
an isosceles triangle. Triangle PQR is an obtuse, scalene triangle.
Guided Practice
Which of these types of triangles are real and which are not?
Acute equilateral ________
Right obtuse ___________
Right equilateral ________
Classify each type of triangle described. Write both the side name and
thing angle name for each.
Angles 30°, 60°, 90°
___________ ___________
Angles 40°, 40°, 100°
___________ ____________
Sides 15cm, 15cm, 15cm ___________ ____________
Match each angle description below with the correct
classification in the list on the right by writing its
letter in the box provided.
angles 30°, 40°, 110°
Classification
a. equilateral
angles 90°, 45°, 45°
b. right scalene
sides 2 inches, 2 inches, 2 inches
c. right isosceles
angles 57°, 88°, 35°
d. obtuse isosceles
angles 110°, 30°, 40°
e. acute scalene
sides 10 cm, 10 cm, 18 cm
f. acute isosceles
angles 60°, 60°, 60°
g. obtuse scalene
sides 3 cm, 4 cm, 5 cm
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