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Section 3.1
Classifying Triangles
A TRIANGLE is a figure formed by three line segments joining three non-collinear points.
Note: All of the interior angles of a triangle add up to 180° .
A VERTEX of a triangle is a point that joins two sides of the triangle. Triangles have 3 vertexes.
The side across from an angle is the opposite side. A triangle can be classified by its sides and by its
angles.
$$$$ is opposite of ∠-.
"#
____ is opposite of ∠B
AB is opposite of _____
Classification of Triangles by SIDES
EQUILATERAL
TRIANGLE
All 3 sides are the same length.
ISOSCELES
TRIANGLE
SCALENE
TRIANGLE
2 sides are the same length.
All 3 sides are different lengths.
Classification of Triangles by ANGLES
ACUTE
TRIANGLE
All 3 angles are
less than 901 .
RIGHT
TRIANGLE
1 angle = 901 .
OBTUSE
TRIANGLE
1 angle measures
more than 901 .
EQUIANGULAR
TRIANGLE
All 3 angles are the
All 3 angles = 601 .
Classify the triangles by its sides and angles.
1.
5.
2.
3.
4.
Find all of the missing angles in the triangles below and then classify each triangle based off of its
angles.
∆ABC ∆ACD -
∆BAD -
6.
Identify the 4 right triangles if IJ GH , GH ⊥ DF , GI ⊥ EF .
7.
∆ DAN is isosceles with DA ≅ DN . Solve for x and all of the side lengths.
x = _____
DA = _____
DN = _____
AN = _____
8.
∆ ABC is equilateral. AB is three less than twice a number, BC is two more than the number,
and AC is eight less than three times the number. How long is each side of the triangle?
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