1 65°

105°

Bell Ringer

23

1. Find <1.

2. Find <2.

3. Find <3.

4. Find < 4.

4

Triangle Inequality Theorem- the sum of the lengths of any two

sides of a triangle is greater than the length of the third side

XY + YZ > XZ

YZ + XZ > XY

XZ + XY > YZ

Determine if a triangle can be constructed using side lengths of 24 feet, 27 feet and 25 feet.

Determine if a triangle can be constructed using side lengths of 8.6 feet, 4.4 feet and 3.8 feet.

Determine if a triangle can be constructed using side lengths of 3.8 meters, 5.4 meters and 6.1 meters.

Determine if a triangle can be constructed using side lengths of 3 meters, 4 meters and 5 meters.

Determine if a triangle can be constructed using side lengths of 5 feet, 12 feet and 7 feet.

Determine if a triangle can be constructed using side lengths of 24 meters, 25 meters and 27 meters.

Writing Inequalities

Given the lengths of two sides of a triangle.The length of the third side is unknown

Example 1:5.6 cm, 9.1 cm

Example 2:7 in, 10 in

Example 3:6.8 in, 13.4 in

You try 2!

Given the lengths of two sides of a triangle.The length of the third side is unknown

Example 1:5.1 cm, 10.8 cm

Example 2:3 in, 12 in

Example 3:2.2 in, 7.1 in

80 m

iles

100 miles

What is the longest that the side can possibly be?

62 m

iles

91 miles

90 fe

et

105 feet

What is the longest that the side can possibly be?

37m

iles

82 miles

You try 3!