Triangle Properties & Theorems

9. Which of these lengths CANNOT represent the sides of a triangle?

• 32, 34, 60
• 28, 30, 58
• 13, 20, 27
• 2, 4, 5

• x = 9

• x = 6

• x = 3

• x = 2

What type of triangle has only one obtuse angle and two congruent sides?

• Right Isosceles Triangle
• Obtuse Isosceles Triangle
• Right Scalene Triangle
• Acute Scalene Triangle

What is the intersection of three perpendicular bisectors called?

• Circumcenter
• Incenter
• Supercenter
• Neither

The lengths of two sides of a triangle are given as 25 and 12. Describe the possible lengths for the third side, x.

• $12<x<25$

• $13<x<37$

• $14<x<36$

• $13>x>37$

In  $\Delta STU,$     $m\angle S=117\degree\ and\ m\angle T=32\degree.$  Which statement about the sides of  $\Delta STU$  must be true?

•  $\overline{TU}>\overline{ST}>\overline{SU}$  
  

•  $\overline{SU}>\overline{TU}>\overline{ST}$  

•  $\overline{TU}>\overline{SU}>\overline{ST}$  
  

•  $\overline{SU}>\overline{ST}>\overline{TU}$  
  

•  $\overline{ST}>\overline{SU}>\overline{TU}$  

Find the value of x

• x = 18

• x = 180

• x = 25

• x = 30

Find the measure of the indicated angle.