Angle-Side Relationship

Front

What is the Angle-Side Relationship?

Back

The Angle-Side Relationship states that in a triangle, the larger angle is opposite the longer side, and the smaller angle is opposite the shorter side.

Front

If angle A is larger than angle B, what can be said about the lengths of sides a and b?

Back

Side a (opposite angle A) is longer than side b (opposite angle B).

Front

In triangle ABC, if angle A is 60 degrees and angle B is 30 degrees, which side is the longest?

Back

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

Front

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

Back

The sum of the angles in a triangle is always 180 degrees, and the sides are proportional to the angles opposite them.

Front

How do you determine the smallest angle in a triangle?

Back

The smallest angle is opposite the shortest side.

Front

If triangle XYZ has sides of lengths 5, 12, and 13, which angle is the largest?

Back

The largest angle is opposite the longest side, which is 13.

Front

What can be inferred if two angles in a triangle are equal?

Back

The sides opposite those angles are also equal, making the triangle isosceles.

Front

In triangle DEF, if angle D is 45 degrees and angle E is 45 degrees, what is angle F?

Back

Angle F is 90 degrees, as the sum of angles in a triangle is 180 degrees.

Front

What is the significance of the Angle-Side Relationship in solving triangle problems?

Back

It helps in determining unknown sides or angles when some dimensions are known.

Front

If angle J is the largest in triangle JKL, what can be said about side KL?

Back

Side KL is the longest side in triangle JKL.