TODAY IN GEOMETRY…  Learning Target: 5.5 You will find possible lengths for a triangle  Independent Practice  ALL HW due Today!

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Presentation transcript:

TODAY IN GEOMETRY…  Learning Target: 5.5 You will find possible lengths for a triangle  Independent Practice  ALL HW due Today!

Triangle inequalities: The longest side of a triangle is opposite the largest angle. The smallest side of a triangle is opposite the smallest angle.

TRIANGLE INEQUALITY THEOREM: The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

PRACTICE: A triangle has one side of length 12 and another of length 8. Describe all possible lengths of the third side. Find the range of values that the missing side can be: 1. Smallest value of the missing side can be found by subtracting the two given sides. 2. Greatest value of the missing side can be found by adding the two given sides.

1. Smallest possible value can be found by subtracting the two largest numbers. 2. Greatest possible value can be found by adding the two smallest numbers. YES, IT IS POSSIBLE TO CONSTRUCT THIS TRIANGLE!

HOMEWORK #2: Pg. 331: 6-13, 16-23, 33 If finished, work on other assignments: HW #1: Pg. 298: 3-15, 24-27