Honors Geometry: 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

List the sides of the triangle in order from shortest to longest:

ΔDEF, with m∡D = 20, m∡E = 120, and m∡F = 40

• EF, DE, DF

• DE, DF, EF

• DF, DE, EF

• DF, EF, DE

Tags

CCSS.HSG.CO.C.10

Can a triangle have sides with the given lengths:

4 m, 5 m, 9 m

• Yes

• No

Tags

CCSS.7.G.A.2

Can a triangle have sides with the given lengths?

15 cm, 1 cm, 15 cm

• 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

Find the longest side of ΔABC, with m∡A = 50, m∡B = 2x - 10, m∡C = 5x.

• AB

• BC

• AC

• ∡C

Tags

CCSS.HSG.CO.C.10

Name the smallest angle in this triangle.

• ∠A
• ∠B
• ∠C

Tags

CCSS.HSG.CO.C.10

Name the largest angle in this triangle.

• ∠D
• ∠E
• ∠F

Tags

CCSS.HSG.CO.C.10

The smallest angle would be located where in a triangle?

• Across from the smallest side.
• Across from the largest side
• Cannot tell

Tags

CCSS.HSG.CO.C.10

Order the sides from greatest to least

• a , b , c

• b , c , a

• c , b , a

• a , c , b

Tags

CCSS.HSG.CO.C.10