Triangle Inequalities

Does a triangle with these side lengths exist?
15, 12, 9

• Yes
• No
• I don't know.

Tags

CCSS.7.G.A.2

What is a possible third side to a triangle with side lengths of 13 and 4?

• 9
• 12
• 8
• 5

Which of the following would NOT work to make a triangle with the two side lengths of 2 and 6?

• 6
• 7
• 5
• 4

Tags

CCSS.7.G.A.2

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

List the lengths of the sides of the triangle in order from smallest to largest.

• JK < JL < KL

• JL < KL < JK

• JK < KL < JL

• KL < JL < JK

Tags

CCSS.HSG.CO.C.10

List the angles of the triangle in order from smallest to largest.

• $\angle L,\ \angle N,\ \angle M$

• $\angle L,\ \angle M,\ \angle N$

• $\angle M\ ,\ \angle L,\ \angle N$

• $\angle N,\ \angle L,\ \angle M$

Tags

CCSS.HSG.CO.C.10

Use the image to compare the side lengths. RE ______ CR

• >

• <

• =

Tags

CCSS.HSG.CO.C.10

GIVEN: AB = 3; DC = 3.5; ∠GBC is congruent to ∠GCB

What can be concluded about m∠AGB and m∠DGC?

• m∠AGB > m∠DGC

• m∠AGB < m∠DGC

• m∠AGB = m∠DGC

• No conclusion can be made.

Tags

CCSS.HSG.CO.C.10

Select all that are TRUE.

• AB > AE

• BE > CE

• BE > CD

• CD < DE

• CE > BC

Tags

CCSS.HSG.CO.C.10