HINTS and NOTES PRACTICE G.5 On the shores of a river, surveyors marked Triangle Inequality Theorem: locations and The measure of , and the A, B, C. The sum of the lengths of any two measure of . sides of a triangle is greater than the length of the third side. Ex: AB + BC > AC Which lists the distances between these AC + BC > AB locations in order, greatest to least? AB + AC > BC A to to to A B, B C, A C B to to to B C, A B, A C C to to to A B, A C,B C To determine whether a triangle D to to to A C, A B, B C can exist: Add the 2 smallest and that Which of the following could be lengths of the must be greater than the third side sides of ? To determine the range of a third A side: B The 3rd side must be greater than C the D 2nd side 1st side – OR less than the 1st side + 2nd side In the drawing, the measure of and the measure of . Which is the shortest side of the triangle? & NOTES A B Comparing sides and angles of a C triangle: D If one side of a triangle is longer than another side, then the Sara is building a triangular pen for her pet opposite the longer side is larger rabbit. If two of the sides measure 8 feet and 15 feet, the length of the third side could be
HINTS and NOTES Triangle Inequality Theorem: The sum of the lengths of any two sides of a triangle is greater than the length of the third side. Ex: AB + BC > AC AC + BC > AB AB + AC > BC To determine whether a triangle can exist: Add the 2 smallest and that must be greater than the third side To determine the range of a third side: The 3rd side must be greater than the 2nd side – 1st side OR less than the 1st side + 2nd side & NOTES Comparing sides and angles of a triangle: If one side of a triangle is longer than another side, then the opposite the longer side is larger PRACTICE G.5 On the shores of a river, surveyors marked locations A, B, and C. The measure of , and the measure of . Which lists the distances between these locations in order, greatest to least? A A to B, B to C, A to C B B to C, A to B, A to C C A to B, A to C,B to C D A to C, A to B, B to C Which of the following could be lengths of the sides of ? A B C D In the drawing, the measure of and the measure of . Which is the shortest side of the triangle? A B C D Sara is building a triangular pen for her pet rabbit. If two of the sides measure 8 feet and 15 feet, the length of the third side could be
York_GeometrySOLReview_2012-13.docx