Inequality in Triangles

Will these line segments form a triangle?

• yes

• no

Identify the smallest angle.

• ∠A

• ∠B

• ∠C

Identify the smallest angle.

• ∠K

• ∠L

• ∠M

• A) a + b < c

• B) b + c = a

• C) b + c > a

• D) a + c < b

Find the range of possible values for x.

Which side lengths would NOT form a triangle?

• {3, 4, 5}

• {2, 5, 9}

• {5, 10, 12}

• {7, 9, 11}

The sum of the lengths of any two sides of a triangle is ____ than the third side.

• greater than

• less than

• equal to

• A) a=2 b=7 c=10

• B) a=5 b=7 c=9

• C) a=6 b=2 c=10

• D) a=9 b=3 c=12

If the given side lengths of a triangle are 16 and 10 which can NOT be the third side?

• 25

• 22

• 27

• 21

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