Geometry Triangle Inequalities

Do the following side lengths form a triangle?
2 inches, 2 inches, 4 inches

• Yes

• No

Which of these lengths CANNOT represent the sides of a triangle?

• 32, 34, 60

• 28, 30, 58

• 13, 20, 27

• 2, 4, 5

Could a triangle with these side lengths exist?
33, 16, 17

• Yes

• No

• I don't know.

Select the measurements that match the sides of a triangle.

• 7, 9, 19

• 7, 12, 1

• 7, 7, 7

• 7, 7, 16

If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?

• any length

• equal to 10

• greater than 10

• less than 10

Which of the following is a possible  length for segment AC

• 10

• 15

• 17

• 9

Using the hinge theorem, we can say that AB _____ DC

• Greater than

• Less than

• Equal to

• Half of 

Two sides of each triangle in the circle are formed
from the radii of the circle. Compare EF and FG.

• EF = FG

• EF < FG

• EF > FG

• Not enough information is given.

Name the largest angle in this triangle.

• ∠D

• ∠E

• ∠F

Name the smallest angle in this triangle.

• ∠A

• ∠B

• ∠C