Triangle Classification Theorems

Question 1

Which sets of three of numbers represent the sides of an obtuse triangle? Check all that apply.

Revolt · Accepted Answer

C: 2, 2, 3; E: 3, 5, 6

Question 2

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.

Revolt · Accepted Answer

D: 14

Question 3

Which statement best summarizes Ella’s work?

Revolt · Accepted Answer

D: Ella’s procedure and conclusion are incorrect.

Question 4

Question 4

Revolt · Accepted Answer

obtuse

Question 5

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?

Revolt · Accepted Answer

B: It is under by approximately 0.6 units.

Question 6

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.

Revolt · Accepted Answer

A: 5 inches; B: 6 inches; C: 7 inches

Question 7

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?

Revolt · Accepted Answer

C: less than inches but greater than 7 inches

Question 8

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

Revolt · Accepted Answer

B: Lin walked southwest, creating an obtuse triangle.

Triangle Classification Theorems Answers

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