NTI Day 8 - Triangle Inequality Theorem

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

List the angles in a triangle in order from smallest to largest if ∠A = 30°, ∠B = 60°, ∠C = 90°.

Back

∠A, ∠B, ∠C

Front

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

Back

180°

Front

If two sides of a triangle are 5 and 7, what is the range of possible lengths for the third side?

Back

The length of the third side must be greater than 2 and less than 12.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side, a method to prove triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side, a method to prove triangles are congruent.

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side, a method to prove triangles are congruent.

Front

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

Back

The larger the angle, the longer the opposite side.

Front

If a triangle has angles measuring 40° and 70°, what is the measure of the third angle?

Back

70° (180° - 40° - 70° = 70°).

Front

Can a triangle have angles measuring 30°, 60°, and 100°?

Back

No, because the sum of the angles exceeds 180°.