G-5.4 2024-2025 Triangle: Angle Side Relationship

Front

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

Back

In a triangle, the largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.

Front

How do you determine the longest side of a triangle given its angles?

Back

The longest side corresponds to the largest angle. To find it, identify the largest angle and locate the side opposite to it.

Front

What is the Triangle Inequality Theorem?

Back

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

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

Back

Angle C is 90 degrees, since the sum of angles in a triangle is 180 degrees.

Front

How can you compare angles in a triangle?

Back

You can compare angles by measuring them or by comparing the lengths of the sides opposite those angles.

Front

What is the smallest angle in a triangle with angles 40°, 70°, and 70°?

Back

The smallest angle is 40°.

Front

In triangle ABC, if angle A is the largest angle, which side is the longest?

Back

Side BC is the longest side, as it is opposite the largest angle A.

Front

What is the relationship between the angles ∠R, ∠Q, and ∠P if ∠R < ∠Q < ∠P?

Back

The relationship indicates that side opposite ∠R is the shortest, side opposite ∠Q is longer than that, and side opposite ∠P is the longest.

Front

If a triangle has sides of lengths 5, 12, and 13, is it a right triangle?

Back

Yes, it is a right triangle because 5² + 12² = 13².

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.