Relationships in Triangles 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

If two sides of a triangle are 2 and 6, what is the range of possible lengths for the third side?

Back

The third side must be greater than 4 and less than 8.

Front

What is the maximum length of the third side in a triangle with sides 13 and 4?

Back

The maximum length of the third side can be 16 (13 + 4).

Front

What is the minimum length of the third side in a triangle with sides 13 and 4?

Back

The minimum length of the third side must be greater than 9 (13 - 4).

Front

How do you find the measure of an angle in a triangle if you know the other two angles?

Back

You can find the measure of the third angle by subtracting the sum of the other two angles from 180 degrees.

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

If one angle of a triangle is 58 degrees and the other is 26 degrees, what is the measure of the third angle?

Back

The third angle measures 96 degrees (180 - 58 - 26).

Front

What is a scalene triangle?

Back

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

Front

What is an isosceles triangle?

Back

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

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length.