Triangle Inequality Side Angle Pair

If the measure of an exterior angle of a triangle is 85 degrees, what should be the sum of the two remote interior angles of the triangle?

• equal to 85 degrees

• greater than 85 degrees

• less than 85 degrees

• 180 degrees

In ∆XYZ, if m∠X=57,m∠Y=49 and m∠Z=74, name the sides in decreasing order. if

• XZ, YZ, XY

• YZ, XY, XZ

• XY, YZ, XZ

• XY, XZ, YZ

Can the numbers 7, 5, 4 be sides of a triangle?

• Yes

• No

• Maybe

Can the numbers 3,6, 2 be sides of a triangle?

• Yes

• No

• Maybe

In ΔDEF, if DE=7, EF= 8 and DF=6, name the angles in increasing order.

• ∠D, ∠E, ∠F

• ∠F, ∠E, ∠D

• ∠E, ∠D, ∠F

• ∠E, ∠F, ∠D

Two sides of a triangle have lengths 5 cm. and 7 cm. respectively. Which of the following can be the length of the third side?

• 13 cm

• 12 cm

• 3 cm

• 2 cm

Which of the following CANNOT be a side of a triangle whose two given sides are 7 ft and 10 ft.

• 3 ft

• 4 ft

• 15 ft

• 16 ft

Using the figure, what can you deduce if AC=AB, CD =10 and BD = 12?

• m∠CAD > m∠BAD

• m∠CAD < m∠BAD

• m∠ADC > m∠ADB

• m∠ACD < m∠ABD

If HO = HE, OM = 9 and EM = 8, what can you conclude on angle OHM and angle EHM?

• m∠OHM is greater than m∠EHM

• m∠OHM is less than m∠EHM

• m∠OHM is equal to m∠EHM

• no relationship exists

What is the possible range of the third side (x) of a triangle, given that the two sides have the measures 9 and 14?

• 5 < x < 23

• 5 > x > 23

• 6 < x < 24

• 6 > x < 24