Inequalities in one triangle

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

ΔXYZ, where XY = 12, YZ = 24, ZX = 30

• ∡Z, ∡X, ∡Y

• ∡X, ∡Y, ∡Z

• ∡Z, ∡Y, ∡X

• ∡Y, ∡Z, ∡X

Tags

CCSS.HSG.CO.C.10

Can a triangle have sides with the given lengths?

15 cm, 1 cm, 15 cm

• Yes

• No

Tags

CCSS.7.G.A.2

Can a triangle have sides with the given lengths?

3 in, 6 in, 2 in

• Yes

• No

Tags

CCSS.7.G.A.2

The lengths of two sides of a triangle are 5 in and 16 in. What is the range of possible lengths for the third side?

• 11 in < x < 21 in

• x > 0

• 11 or 21

• 5 < x < 16

Can a triangle have sides with the given lengths:

4 m, 5 m, 9 m

• Yes

• No

Tags

CCSS.7.G.A.2

The figure is an example of a(n) ...

• angle bisector
• perpendicular bisector
• median
• midsegment

The figure is an example of a(n) ...

• altitude 
• perpendicular bisector
• midsegment
• angle bisector

The figure is an example of a(n) ...

• angle bisector
• midsegment
• altitude
• median

Tags

CCSS.HSG.CO.C.10

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

• Yes
• No
• I don't know.

Tags

CCSS.7.G.A.2

Name the largest angle in this triangle.

• ∠D
• ∠E
• ∠F

Tags

CCSS.HSG.CO.C.10