What You Need To Know...
The inequality theorems.
- The benchmark will be assessed using MC (Multiple Choice) items.
- Items may require the use of the triangle inequality, inequality in one triangle, or the Hinge Theorems.
- Items may be set in either mathematical or real-world contexts.
A surveyor took some measurements across a river, as shown below. In the diagram, AC = DF and AB = DE.
The surveyor determined that m∠ BAC = 29° and m∠ EDF = 32°. Which of the following can he conclude ?
- BC > EF
- BC < EF
- AC > DE
- AC < DF
Kristin has two dogs, Buddy and Socks. She stands at point K in the diagram and throws two disks. Buddy catches one at point B, which is 11 meters (m) from Kristin. Socks catches the other at point S, which is 6 m from Kristin.
If KSB forms a triangle, which could be the length, in meters, of segment SB?
- 5 m
- 8 m
- 17 m
- 22 m