Flashcard 3.3 - Triangle Properties and Theorems

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

How do you classify triangles based on their sides?

Back

Triangles can be classified as equilateral (all sides equal), isosceles (two sides equal), or scalene (all sides different).

Front

How do you classify triangles based on their angles?

Back

Triangles can be classified as acute (all angles less than 90°), right (one angle equal to 90°), or obtuse (one angle greater than 90°).

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180°.

Front

If one angle of a triangle measures 90°, what type of triangle is it?

Back

It is a right triangle.

Front

Can a triangle have two obtuse angles?

Back

No, a triangle cannot have two obtuse angles because the sum of the angles would exceed 180°.

Front

What is the relationship between the angles and sides of a triangle?

Back

In a triangle, the larger the angle, the longer the opposite side.

Front

Given sides 3, 5, and 8, can they form a triangle?

Back

No, they cannot form a triangle because 3 + 5 is not greater than 8.

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are equal in length and all three angles are equal, each measuring 60°.

Front

What is a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides and all three angles are different.