Triangle Sum & Triangle Inequality

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Tags

CCSS.8.G.A.5

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

If two angles of a triangle are 50° and 60°, what is the measure of the third angle?

Back

The third angle is 70° (180° - 50° - 60° = 70°).

Tags

CCSS.8.G.A.5

Front

Can the sides 5, 7, and 12 form a triangle?

Back

No, because 5 + 7 is not greater than 12.

Tags

CCSS.7.G.A.2

Front

What is the range of possible lengths for the third side of a triangle with sides 8 and 10?

Back

The range is 2 < x < 18.

Front

If one angle of a triangle is 90°, what type of triangle is it?

Back

It is a right triangle.

Tags

CCSS.4.G.A.2

Front

What is the smallest angle in a triangle with angles 30°, 60°, and 90°?

Back

The smallest angle is 30°.

Tags

CCSS.7.G.B.5

Front

Order the sides of a triangle with lengths 3, 5, and 4 from least to greatest.

Back

The order is 3, 4, 5.

Front

If two sides of a triangle are 6 and 8, what is the maximum possible length of the third side?

Back

The maximum length is 13 (6 + 8 - 1).

Front

What is the minimum possible length of the third side if the other two sides are 7 and 10?

Back

The minimum length is 4 (10 - 7 + 1).