Angle-Side Relationship

Front

What is the Angle-Side Relationship in triangles?

Back

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

Tags

CCSS.HSG.CO.C.9

Front

If angle K is the largest angle in triangle KLM, what can be inferred about side LM?

Back

Side LM is the longest side in triangle KLM because it is opposite the largest angle K.

Tags

CCSS.HSG.CO.C.10

Front

In triangle JKL, if angle L is the largest angle, which side is the longest?

Back

Side JK is the longest side in triangle JKL because it is opposite the largest angle L.

Tags

CCSS.HSG.CO.C.10

Front

What is the relationship between the smallest angle and its opposite side in a triangle?

Back

The smallest angle in a triangle is opposite the shortest side.

Front

If angle M is smaller than angle K in triangle KLM, what can be said about side KL compared to side LM?

Back

Side KL is shorter than side LM because it is opposite the smaller angle M.

Tags

CCSS.HSG.CO.C.10

Front

How can you determine the largest angle in a triangle given the lengths of the sides?

Back

The largest angle can be determined using the Angle-Side Relationship: the angle opposite the longest side is the largest angle.

Tags

CCSS.HSG.CO.C.10

Front

What is the sum of the angles in any triangle?

Back

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

Tags

CCSS.8.G.A.5

Front

If angle J is 30 degrees and angle K is 60 degrees in triangle JKL, what can be inferred about angle L?

Back

Angle L must be 90 degrees because the sum of angles in a triangle is 180 degrees.

Tags

CCSS.8.G.A.5

Front

In triangle ABC, if side a is 5 cm, side b is 7 cm, and side c is 10 cm, which angle is the largest?

Back

Angle C is the largest angle because it is opposite the longest side c.

Tags

CCSS.HSG.CO.C.10

Front

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

Back

In a triangle, the larger the angle, the longer the side opposite to it.

Tags

CCSS.HSG.CO.C.10