Triangles Vocabulary and Triangle Inequality Theorem

Using the triangle sum theorem, find the missing angle (x).

37°, 63°, x

• 80°

• 100°

• 137°

• 180°

Using the triangle sum theorem, find the missing angle (x).

90°, 46°, x

• 144°

• 44°

• 146°

• 46°

Determine if the three lengths can be the measures of the sides of a triangle.

3 in, 9 in and 8 in

• yes

• no

Determine if the three lengths can be the measures of the sides of a triangle.

16 ft, 6 ft, 2 ft

• yes

• no

Determine if the three lengths can be the measures of the sides of a triangle.

25 yd, 17 yd, 29 yd

• yes

• no

Determine if the three lengths can be the measures of the sides of a triangle.

3 cm, 7 cm, 5 cm

• yes

• no

Determine whether the following measurements will create one unique, more than one (has angle measures), or no triangle.

4 in, 7 in, 9 in

• unique triangle

• more than one triangle

• no triangle

Determine whether the following measurements will create one unique, more than one (has angle measures), or no triangle.

1 m, 1 m, 2 m

• unique triangle

• more than one triangle

• no triangle

Determine whether the following measurements will create one unique, more than one (has angle measures), or no triangle.

10°, 115°, 50°

• unique triangle

• more than one triangle

• no triangle

Determine whether the following measurements will create one unique, more than one (has angle measures), or no triangle.

53°, 56°, 71°

• unique triangle

• more than one triangle

• no triangle