Triangle Inequality Theorem

Triangle Inequality

Dr. Tom Giles

Multiple Choice

Can the side lengths 7, 8 and 13 form a triangle?

• Yes

• No

Multiple Choice

Can the side lengths 4, 9 and 16 form a triangle?

• Yes

• No

Multiple Choice

Can the side lengths 5, 5 and 10 form a triangle?

• Yes

• No

Multiple Choice

Name the angles from smallest to largest.

• < A, < B, < C

• < A, < C, < B

• < C, < A, < B

• < B, < A, < C

• < C, < B, <A

Multiple Choice

Name the sides from smallest to largest.

• AB, BC , AC

• AB, AC, BC

• BC, AB, AC

• BC, AC, AB

• AC, BC, AB

Multiple Choice

Name the angles from largest to smallest.

• < A, < C, < B

• < A, < B, < C

• < C, < A, < B

• < B, < A, < C

• < B, < C, < A

Multiple Choice

Name the sides from largest to smallest.

• AB, AC, BC

• AB, BC, AC

• AC, AB, BC

• BC, AB, AC

• BC, AC, AB

Multiple Select

The lengths of two sides of a triangle are given.

Describe the length possible for the third side.

Sides are 5 and 11.

• x < 6

• x > 6

• x > 16

• x < 16

• 6 < x < 16