SOS Math 800: Unit 6- Classifying Triangles and the Triangle Inequality Theorem

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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

A triangle with side lengths of 11, 13, and 15 is a scalene triangle.

True

All equilateral triangles are also isosceles triangles.

True

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

Determine the type of triangle that has side lengths of 18, 24, and 42.

It's not a triangle.

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


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