Inequality Theorem in Triangles

Identify the largest angle.

• ∠N

• ∠Q

• ∠P

Tags

CCSS.HSG.CO.C.10

In triangle ABC, the length of side AB is 10 inches and the length of side BC is 17 inches.  Which of the following could be the length of side AC?

• 16 inches

• 5 inches

• 32 inches

• 29 inches

Find the range of possible values for x.

Tags

CCSS.HSG.SRT.A.2

Which of the following relationships is true?

• m<d > m<c

• m<d < m<a

• m<d > m<b

• m<a < m<b

Tags

CCSS.8.G.A.5

Noah cut strips of plywood for a home improvement project. Two of the strips were 14 inches each and the third strip was 30 inches. Could Noah make a triangle with these strips of plywood?

​ ​ (a)   because the sum of the 2 shorter sides is ​ ​ (b)   the longest side.

• No

• less than

• Yes

• greater than

Max cut strips of plywood for a home improvement project. Two of the strips were 8 inches each and the third strip was 14 inches. Could Max make a triangle with these strips of plywood?​ (a)   because the sum of the 2 shorter sides is ​ (b)   the longest side.

• Yes

• greater than

• No

• less than

Tags

CCSS.7.G.A.2

Max cut strips of plywood for a home improvement project. Two of the strips were 8 inches each and the third strip was 14 inches. Could Max make a triangle with these strips of plywood?​ (a)   because the sum of the 2 shorter sides is ​ (b)   the longest side.

• Yes

• greater than

• No

• less than

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

Determine the largest side of the triangle

• AB

• BC

• AC

• Cannot be determined

Tags

CCSS.HSG.CO.C.10

Determine the smallest side of the triangle

• AB

• BC

• AC

• Cannot be determined

Tags

CCSS.HSG.CO.C.10