Triangle Inequalities

Front

What is the Triangle Inequality Theorem?

Back

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

Front

How do you determine the order of sides in a triangle?

Back

To determine the order of sides in a triangle, compare the lengths of the sides and arrange them from smallest to largest.

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. Conversely, the smaller the angle, the shorter the opposite side.

Front

How can you find the smallest angle in a triangle?

Back

The smallest angle in a triangle can be found by identifying the shortest side, as the angle opposite this side will be the smallest.

Front

What is the sum of the angles in any triangle?

Back

The sum of the angles in any triangle is always 180 degrees.

Front

What is the significance of ordering angles in a triangle?

Back

Ordering angles in a triangle helps in understanding the relationship between the angles and the sides, and is essential for solving problems related to triangle properties.

Front

How do you identify congruent angles in a triangle?

Back

Congruent angles in a triangle can be identified by their equal measures, often indicated by markings or by using the properties of isosceles triangles.

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length, which also means that the angles opposite those sides are equal.

Front

What is a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides are of different lengths, and consequently, all three angles are also different.

Front

What is an equilateral triangle?

Back

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