Ordering Sides and Angles in Triangles

Front

What is the relationship between the angles and sides in 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 do you order angles in a triangle from smallest to largest?

Back

To order angles in a triangle from smallest to largest, compare their measures. The angle with the smallest measure comes first.

Front

What is the sum of the angles in a triangle?

Back

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

Front

If angle A is 30 degrees and angle B is 60 degrees, what is angle C?

Back

Angle C is 90 degrees, since 30 + 60 + C = 180.

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 and all three angles are of different measures.

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 and the angles opposite those sides are equal.

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 three angles are equal, each measuring 60 degrees.

Front

How do you determine the longest side of a triangle?

Back

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

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 side lengths are 5 cm, 7 cm, and 10 cm, can they form a triangle?

Back

Yes, they can form a triangle because 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5.