Triangle Relationships Review

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

What is a midsegment in a triangle?

Back

A midsegment is a line segment that connects the midpoints of two sides of a triangle. It is parallel to the third side and its length is half the length of that side.

Front

How do you determine the largest angle in a triangle?

Back

The largest angle in a triangle is opposite the longest side.

Front

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

Back

In a triangle, larger angles are opposite longer sides, and smaller angles are opposite shorter sides.

Front

If two sides of a triangle are 17 meters and 12 meters, what is the range of possible lengths for the third side?

Back

The range of possible lengths for the third side is 5 < x < 29.

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 degrees.

Front

What is the definition of a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides are of different lengths.

Front

What is the definition of an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length.

Front

What is the definition of an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length and all angles are 60 degrees.

Front

How can you determine if a triangle with given side lengths exists?

Back

To determine if a triangle exists with given side lengths, apply the Triangle Inequality Theorem.