Angle-Side Relationships

Front

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

Back

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

Tags

CCSS.HSG.CO.C.10

Front

How do you order the sides of a triangle based on the angles?

Back

The sides of a triangle can be ordered from least to greatest based on the angles opposite them.

Tags

CCSS.HSG.CO.C.10

Front

What is the largest angle in a triangle?

Back

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

Front

Where is the longest side of a triangle located?

Back

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

Front

If two angles in a triangle are equal, what can be said about the sides opposite those angles?

Back

The sides opposite equal angles are also equal in length.

Tags

CCSS.HSG.CO.C.9

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 a triangle has sides of lengths 3, 4, and 5, which angle is the largest?

Back

The largest angle is opposite the longest side, which is 5.

Tags

CCSS.HSG.CO.C.10

Front

How can you determine if a triangle is acute, right, or obtuse based on its angles?

Back

If all angles are less than 90 degrees, it's acute; if one angle is exactly 90 degrees, it's right; if one angle is greater than 90 degrees, it's obtuse.

Tags

CCSS.4.G.A.2

Front

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

Back

The smallest angle is always opposite the smallest side.

Tags

CCSS.HSG.CO.C.10

Front

How do you find the measure of an unknown angle in a triangle?

Back

You can find an unknown angle by subtracting the sum of the known angles from 180 degrees.

Tags

CCSS.8.G.A.5