The Triangle Inequality Theorem says that the sum of any two side lengths of a triangle must be greater than the third side to form a triangle.
Question 1
1.
Put the angles in order from smallest to largest.
Question 2
2.
Put the angles in order from smallest to largest.
Question 3
3.
Put the sides of the triangle in order from shortest to longest.
XY
YZ
XZ
Question 4
4.
Put the sides of the triangle in order from shortest to longest.
TU
TV
UV
Question 5
5.
Put the sides of the triangle in order from shortest to longest.
QR
QP
PR
Question 6
6.
Put the sides of the triangle in order from shortest to longest.
BC
BD
CD
Question 7
7.
Is it possible to have a triangle with the given side lengths? Why or why not?
15,37,53
Question 8
8.
Is it possible to have a triangle with the given side lengths? Why or why not?
9,16,8
Question 9
9.
Given a triangle with side lengths 5 inches and 12 inches, describe the possible lengths of the third side.
Question 10
10.
Given a triangle with side lengths 12 feet and 18 feet, describe the possible lengths of the third side.
Check your work using the answers posted in Google Classroom. Then complete the following exit ticket problems.
Question 11
11.
Is it possible to have a triangle with the given side lengths? Why or why not?
4,12,17
Question 12
12.
Given a triangle with side lengths 7 feet and 13 feet, describe the possible lengths of the third side.
Question 13
13.
List the angles from smallest to largest.
Question 14
14.
List the side lengths from smallest to largest.
GF
DG
DF
Question 15
15.
EXTENSION: If m∠A < m∠B < m∠C, describe the possible values of x. Your answer will be a range of possible answers for x, state your answer like this: 1<x<2
Question 16
16.
EXTENSION: If m∠A < m∠B < m∠C, describe the possible values of x. Your answer will be a range of possible answers for x.
Question 17
17.
Rate your understanding on inequalities in one triangle.