Page 145 - Math Course 2 (Book 2)

Inequalities: Two Triangles

Use Triangle Inequalities
Your Turn!

Example Relationships Between Two Triangles

Compare m∠WYX and m∠ZYW and write an
HEALTH inequality statement.
Doctors use a straight-leg-raising test to determine
the amount of pain felt in a person’s back. The W
patient lies flat on the examining table, and the
doctor raises each leg until the patient experiences
pain in the back area. Nitan can tolerate the doctor
raising his right leg 35°and his left leg 65°from the 11
table. Which foot can Nitan raise higher above the 9
table?

Assume both of Nitan’s legs have the same X
measurement, the SAS Inequality tells us that the
height of the left foot opposite the 65° angle is Z 8
higher than the height of his right foot opposite the (7n + 5)0
35° angle. This means that his left foot is raised
higher. 8 470

Y

A. m∠WYX < m∠ZYW
B. m∠WYX = m∠ZYW
C. m∠WYX > m∠ZYW
D. cannot be determined

Answer his left foot Answer
Find the range of values containing n and write
an inequality statement.
Use Triangle Inequalities
A. 6 < n < 12
HEALTH
52
Doctors use a straight-leg-raising test to determine B. < n < 187
the amount of pain felt in a person’s back. The 7 7
patient lies flat on the examining table, and the C. n > 6
doctor raises each leg until the patient experiences
pain in the back area. Megan can lift her right foot D. 6 < n < 18.3
18 inches from the table and her left foot 13 inches
from the table. Which leg makes the greater angle
with the table?

A. her right leg
B. her left leg
C. neither
Answer Answer

137