Triangle Angle Side Relationship

Front

What is the Triangle Angle-Side Relationship?

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 determine the largest angle in a triangle?

Back

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

Tags

CCSS.HSG.CO.C.10

Front

How do you determine the smallest angle in a triangle?

Back

The smallest angle is opposite the shortest side of the triangle.

Tags

CCSS.HSG.CO.C.10

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

Given two sides of lengths 2 and 6, what is the range of possible lengths for the third side?

Back

The length of the third side must be greater than 4 and less than 8.

Front

Can a triangle have sides of lengths 3, 4, and 9?

Back

No, because the sum of the lengths of the two shorter sides (3 + 4 = 7) is less than the length of the longest side (9).

Tags

CCSS.7.G.A.2

Front

In triangle ∆XYZ, if m∠x = 40°, m∠y = 60°, and m∠z = 80°, which side is the longest?

Back

Side XY is the longest because it is opposite the largest angle (80°).

Tags

CCSS.HSG.CO.C.10

Front

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

Back

The angles and sides of a triangle are directly related; larger angles correspond to longer opposite sides.

Tags

CCSS.HSG.CO.C.10

Front

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

Back

You can use the fact that the sum of the angles in a triangle is always 180°. Subtract the sum of the known angles from 180°.

Tags

CCSS.8.G.A.5

Front

What is the formula for the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is 180°.

Tags

CCSS.8.G.A.5