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.
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.
Put the angles in order from smallest to largest.
Put the angles in order from smallest to largest.
Put the sides of the triangle in order from shortest to longest.
XZ
XY
YZ
Put the sides of the triangle in order from shortest to longest.
TU
TV
UV
Put the sides of the triangle in order from shortest to longest.
QR
QP
PR
Put the sides of the triangle in order from shortest to longest.
BC
BD
CD
Is it possible to have a triangle with the given side lengths? Why or why not?
15,37,53
Is it possible to have a triangle with the given side lengths? Why or why not?
9,16,8
Given a triangle with side lengths 5 inches and 12 inches, describe the possible lengths of the third side.
Given a triangle with side lengths 12 feet and 18 feet, describe the possible lengths of the third side.
Is it possible to have a triangle with the given side lengths? Why or why not?
4,12,17
Given a triangle with side lengths 7 feet and 13 feet, describe the possible lengths of the third side.
List the angles from smallest to largest.
List the side lengths from smallest to largest.
DF
GF
DG
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
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.
Rate your understanding on inequalities in one triangle.
