SOS Math 800: Unit 6- Classifying Triangles and the Triangle Inequality Theorem
The ratio of the angle measures of a triangle are 3:3:4. What are the angle measures and the triangle's classification?
54°, 54°, and 72°; acute triangle
Which of the following triangles is a scalene triangle?
6, 8, 10
Which of the following sets of measures for sides doesn't form a triangle?
7, 9, 17
A triangle with angle measures of 45°, 45°, and 90° is an equilateral triangle.
False
All acute triangles are equiangular.
False
The sides 5, 6, and 12 form a triangle.
False
Determine the type of triangle that has side lengths of 18, 24, and 42.
It's not a triangle.
A triangle with side lengths of 11, 13, and 15 is a scalene triangle.
True
All equilateral triangles are also isosceles triangles.
True
triangle
a polygon with three sides
scalene triangle
a triangle in which no two sides have the same length
equiangular triangle
a triangle whose angles all measure 60 degrees
equilateral triangle
a triangle whose three sides all are the same length
isosceles triangle
a triangle with at least two equal sides
acute triangle
a triangle with no angle measuring 90 degrees or more
right triangle
a triangle with one angle that measures 90 degrees
obtuse triangle
a triangle with one angle that measures more than 90 degrees
The ratio of angle measures is 1:2:2. Classify the triangle by its angle measures.
acute triangle
What type of triangle has side lengths of 23, 24, and 24?
isosceles triangle
triangle inequality theorem
no side of a triangle can be equal to or longer than the sum of the other two sides
What type of triangle is shown below?
obtuse triangle
