5-5 & 5-6: Inequalities in Triangles

List the sides in order from shortest to longest.

• QM, QP, MP

• MQ, MP, QP

• MP, MQ, QP

• MQ, QP, MP

Tags

CCSS.HSG.CO.C.10

List the angles in order by measure from smallest to largest.

• ∠B, ∠A, ∠C

• ∠A∠,B, ∠C

• ∠A, ∠C, ∠B

• ∠C, ∠A, ∠B

Tags

CCSS.HSG.CO.C.10

Can the following side measures form a triangle?

3, 5, 8

• Yes

• No

Tags

CCSS.7.G.A.2

What is the range of values of x for a triangle's third side given side measures of 8 and 15?

• between 8 and 15

• between 7 and 23

• less than 7, but greater than 23

• between 9 and 14

Which of the following does NOT represent the lengths of the sides of a triangle?

• 2 cm, 6 cm, 7 cm

• 5 cm, 2 cm, 5 cm

• 5 cm, 5 cm, 8 cm

• 3 cm, 10 cm, 15 cm

Find the range of possible lengths for the third side of a triangle given side lengths of 7 mm and 4 mm.

• greater than 3 but less than 11

• greater than 11 but less than 3

• between 3 and 7

• between 7 and 4

Which of the following sets of side lengths CAN produce a triangle? SELECT ALL THAT APPLY.

• 4, 4, 4

• 5, 5, 10

• 8, 28, 40

• 5, 7, 11

• 13, 5, 6

Tags

CCSS.7.G.A.2

Which of the following would NOT work as a third side to a triangle given the two side lengths of 2 and 6?

• 6

• 7

• 5

• 4

Tags

CCSS.7.G.A.2

Which range of possible values could be the measurement of the third side of a triangle, if the other two sides are given as 21cm and 15 cm?

• between 7cm - 14cm

• between 17cm - 22cm

• between 1cm and 5 cm

• between 6cm and 14 cm

What is the range of values of x for a triangle's third side given side measures of 4 and 12?

• between 8 and 16

• less than 4, greater than 12

• between 4 and 12

• between 8 and 12