Triangle Sum and Inequality Theorem Practice

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.

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

Order the angles from greatest to least: 30°, 60°, 90°.

Back

90°, 60°, 30°.

Front

Will the sides 3 cm, 4 cm, and 5 cm form a triangle?

Back

Yes, they satisfy the Triangle Inequality Theorem.

Front

Will the sides 2 cm, 2 cm, and 5 cm form a triangle?

Back

No, they do not satisfy the Triangle Inequality Theorem.

Front

What type of angle is exactly 90 degrees?

Back

Right angle.

Front

What type of angle is less than 90 degrees?

Back

Acute angle.

Front

What type of angle is greater than 90 degrees but less than 180 degrees?

Back

Obtuse angle.

Front

If one angle of a triangle is 50° and another is 60°, what is the third angle?

Back

70° (180° - 50° - 60° = 70°).

Front

What is the maximum length of a side in a triangle with sides 7 cm and 10 cm?

Back

The maximum length is less than 17 cm (7 cm + 10 cm > third side).