HW #4: 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

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

• 32, 34, 60
• 28, 30, 58
• 13, 20, 27
• 2, 4, 5

Tags

CCSS.HSG.CO.C.10

Find the measure of each angle indicated. 

• 33°
• 136°
• 36°
• 31°

Tags

CCSS.HSG.CO.C.10

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

• 80
• 100
• 60
• 90

Tags

CCSS.HSG.CO.C.10

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.

Tags

CCSS.HSG.SRT.B.5

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.

Tags

CCSS.HSG.CO.C.10

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

• 0

• 1

• 2

• 3

• Infinitely many

Tags

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

• 0

• 1

• 2

• 3

• Infinitely many

Tags

CCSS.HSG.SRT.B.5

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11