Triangle Classification Theorems (Sec 8-1) Answers

Which sets of three of numbers represent the sides of an obtuse triangle? Check all that apply.4, 7, 8 3, 4, 52, 2, 36, 8, 93, 5, 6

Which value from the list below, when substituted for x, would represent an acute triangle with side lengths x, x+ 4, and 20? Assume that the longest side of the triangle is of length 20 units.

Which statement best summarizes Ella’s work?

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Janice examines the given triangle and estimates that the longest side has a length of 25 units―if it is a right triangle. How does her estimate compare to the actual length?

Marlena has 3 straws. Two straws have the lengths shown. She does not know the length of the shortest straw, but when she forms a triangle with all three, the triangle is obtuse. Which are possible lengths of the shortest straw? Check all that apply.

Ramon wants to make an acute triangle with three pieces of wood. So far, he has cut wood lengths of 7 inches and 3 inches. He still needs to cut the longest side. What length must the longest side be in order for the triangle to be acute?

What general direction did Lin walk from the gym to his house, and what type of triangle did his walking path form?

Your classmate is unsure about how to use side lengths to determine the type of triangle. How would you explain this to your classmate?

Sample Response: First, look at the side lengths a, b, and c, where c is the longest. Then take the sum of a squared and b squared and compare it to c squared. If they are equal, the triangle is a right triangle. If c squared is less than a squared plus b squared, the triangle is acute. If c squared is greater than a squared plus b squared, the triangle is obtuse. What did you include in your response? Check all that apply.If a2 + b2 = c2, the triangle is right.If c2 < a2 + b2, the triangle is a