Triangle Inequalities

Triangle Inequalities

Geometry

Poll

Look at the triangle and pick one of the estimates of how long the missing side AC most likely is.

• 18

• 28

• 4

Multiple Choice

Do you think a triangle can be formed with the following side lengths?

4, 7, 10

• yes

• no

Multiple Choice

Do you think a triangle can be formed with the following side lengths?

10, 12, 23

• yes

• no

Multiple Choice

Name the largest angle in this triangle.

Hint: The largest angle is across

from the longest side.

• ∠D
• ∠E
• ∠F

Multiple Choice

Name the smallest angle in this triangle.

Hint: The smallest angle is across

from the shortest side.

• ∠A
• ∠B
• ∠C

Multiple Choice

List the angles of ΔTVX in order

from smallest to largest.

• ∠V, ∠T, ∠X

• ∠T, ∠V, ∠X

• ∠X, ∠T, ∠V

Multiple Choice

Identify the shortest side in the triangle.

Hint: The shortest side is across

from the smallest angle.

• QP

• QM

• MP

Multiple Choice

Identify the longest side in the triangle.

Hint: The longest side is across

from the largest angle.

• KJ

• JH

• KH

Multiple Choice

List the sides of ΔRST in order

from shortest to longest.

• RT, RS, ST

• RS, RT, ST

• ST, RT, RS

Multiple Choice

Which side is longer?

Hint: Which angle is larger?

• AC

• DF

Multiple Choice

Compare segments QT and ST.

Is one bigger than the other or are they equal?

Hint: Which angle is larger?

• $$QT\ <\ ST$$

• $$QT\ >\ ST$$

• $$QT\ =\ ST$$

Poll

Are you understanding the math concepts from this lesson today?

Open Ended

As you met the success criteria of understanding triangle inequalities and angle-side relationships, write down one important thing to remember about the lesson today.