Honors Geometry: Inequalities in One Triangle

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.

Tags

CCSS.HSG.CO.C.10

Front

How do you determine the largest angle in a triangle?

Back

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

Tags

CCSS.HSG.CO.C.10

Front

List the angles of a triangle in order from smallest to largest based on side lengths: ΔABC, where AB = 5, BC = 12, CA = 13.

Back

∡A, ∡B, ∡C.

Tags

CCSS.HSG.CO.C.10

Front

List the sides of a triangle in order from shortest to longest based on angle measures: ΔDEF, with m∡D = 30, m∡E = 60, m∡F = 90.

Back

DE, DF, EF.

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

Is it possible to construct a triangle with sides 7, 10, and 20?

Back

No, because 7 + 10 is not greater than 20.

Tags

CCSS.7.G.A.2

Front

What is the measure of the largest angle in a triangle with sides 8, 15, and 17?

Back

The largest angle is opposite the longest side, which is 17.

Tags

CCSS.HSG.CO.C.10

Front

If two angles of a triangle are known, how can you find the third angle?

Back

The third angle can be found by subtracting the sum of the known angles from 180 degrees.

Tags

CCSS.8.G.A.5

Front

What is the relationship between the angles in a triangle?

Back

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

Tags

CCSS.8.G.A.5

Front

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

Back

Order them from smallest to largest based on the corresponding side lengths.

Tags

CCSS.HSG.CO.C.10