GEO 6.5 - Ordering Sides and Angles of a Triangle

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 do you order angles in a triangle from smallest to largest?

Back

To order angles 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 = 180 - (30 + 60) = 90 degrees.

Front

What is the definition of an acute angle?

Back

An acute angle is an angle that measures less than 90 degrees.

Front

What is the definition of an obtuse angle?

Back

An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees.

Front

What is the definition of a right angle?

Back

A right angle is an angle that measures exactly 90 degrees.

Front

How do you order sides of a triangle from longest to shortest?

Back

To order sides from longest to shortest, compare their lengths. The longest side comes first.

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 a = 5, side b = 7, and side c = 10, can these lengths form a triangle?

Back

Yes, because 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5.