Constructing Triangles

Does a triangle with these side lengths exist?
20, 10, 9

• Yes, only one
• No
• Yes, many

Does a triangle with these side lengths exist?
15, 12, 9

• Yes, only one
• No
• Yes, many

Find the measure of each angle indicated. 

• 33°
• 136°
• 36°
• 31°

If 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures...

• 80
• 100
• 60
• 90

The Triangle Inequality Theorem states the sum of the lengths of any two sides of a triangle is ________________ the length of the third side.

• greater than
• less than 
• equal to

If you are given two sides of a triangle what will be true?

• You can make infinitely many unique triangles.

• You can't make any triangles with this information.

• You can only make one unique triangle.

• You can only make 2 unique triangles.

If you are given three angles of a triangle what will be true?

• You can make infinitely many unique triangles.

• You can't make any triangles with this information.

• You can only make one unique triangle.

• You can only make 2 unique triangles.

How many different triangles can you make if you are given these measurements?

• 0

• 1

• 2

• 3

• Infinitely many

How many different triangles can you make if you are given these measurements?

• 0

• 1

• 2

• 3

• Infinitely many

An equilateral triangle has

• all sides in different lengths.
• all sides in equal lengths.
• two sides in equal lengths.