Inequality in Triangles

Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?

• 12 < x < 17

• 12 < x < 29

• 5 < x < 17

• 5 < x < 29

Determine the smallest side of the triangle

• AB

• BC

• AC

• Cannot be determined

Order the sides from greatest to least

• a , b , c

• b , c , a

• c , b , a

• a , c , b

Identify the largest angle.

• ∠N

• ∠Q

• ∠P

Compare PS and SR.

• PS < SR

• PS > SR

• PS = SR

Find the range of possible values of x.

• x < 21

• x < 41

• -20 < x < 21

• -20 < x < 160

Find the range of possible values of x.

• x < 7

• x > 7

Find the range of possible values for x.

• 2 < x < 6

• x < 6

• x < 2

• x > 6

What is the range of possible third side measures using 10 and 15?

• 9 < x < 16

• 10 < x < 15

• 1 < x < 5

• 5 < x < 25

The _________________ states that the sum of any two sides of a triangle must be greater than the third side.

• Equality Theorem

• Theorem of Triangles

• Angle Sum Theorem

• Inequality Theorem