Triangle Sum Properties & Inequalities in a Triangle Sections 4.1, 5.1, & 5.5.

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Presentation transcript:

Triangle Sum Properties & Inequalities in a Triangle Sections 4.1, 5.1, & 5.5

Classifying Triangles by Sides Classifying Triangles by Angles

Angles of a Triangle The interior angles of a triangle add up to 180 o. The exterior angle of a triangle is equal to the sum of the nonadjacent interior angles.

Find x

Sides and Angles

List the sides in order or smallest to largest A B C

Midsegment Theorem The segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half as long as that side.

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

Triangle Inequality Theorem Which of the following could not be the lengths of a triangle? 5, 12, 13 3, 4, 9 5, 6, 7 4, 6, 10 If two sides of a triangle are 4 and 8, what range of values could the sides be?

Assignment pg. 221 #1-10, pg. 298 #3-11 odds pg. 331 #17-25 odds