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Classifying Triangles
You can use angle measures and side lengths to classify triangles.
Classifying Triangles Using Angles
acute triangle
obtuse triangle
right triangle
equiangular triangle
all acute angles
1 obtuse angle
1 right angle
3 congruent angles
Classifying Triangles Using Sides
scalene triangle
isosceles triangle
equilateral triangle
no congruent sides
at least 2 congruent sides
3 congruent sides
Example 1
a.
Classify each triangle by its angles and by its sides.
115°
b.
25°
40°
The triangle has one obtuse angle
and no congruent sides.
The triangle has all acute angles
and two congruent sides.
So, the triangle is an obtuse scalene triangle.
So, the triangle is an acute isosceles triangle.
Practice
Check your answers at BigIdeasMath.com.
Classify the triangle by its angles and by its sides.
1.
2.
90°
3.
100°
45°
45°
30°
60°
right scalene
40°
equiangular
equilateral
60°
right isosceles
4.
40°
5.
obtuse isosceles
6.
64°
39°
77°
35°
120°
obtuse scalene
25°
acute scalene
Copyright © Big Ideas Learning, LLC
Topic 10.12
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