5.6, 8.1-8.2 Practice

Separate the given lists of numbers into those that will make a triangle and won't make a triangle.

Groups:

(a) Triangle

,

(b) NOT Triangle

• 3, 4, 5

• 1, 19, 21

• 13, 15, 28

• 4, 4, 4

• 5, 6, 12

• 12, 10, 20

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 mm, 4 mm

• 3 < x < 11

• 3 < x > 11

• 11 < x < 3

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 10 m, 16 m

• 6 < x < 26

• 6 < x > 26

• 26 < x < 6

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 1 in, 8 in

• 7 < x < 9

• 7 < x > 9

• 9 < x < 7

Reduce: √180

• 9
• √9
• 6√5

• 5√6

Reduce: √32

• 4√2
• √16
• 4
• 2√8

Reduce: √275

• 11√5

• 5√11

• 5√7

• 25√11

Reduce: √64

• 8
• 8√2
• 32
• 16

Reduce: √200

• 10√2
• 2√10
• 100
• 20

• A
• B
• C
• D