Inequalities in one Triangle

Inequalities in one Triangle

Objective: Solve problems using inequalities in the angles and sides of a triangle.

Multiple Choice

What are the corresponding remote interior angles?

• angle a , angle b

• angle a , angle c

• angle b , angle c

Multiple Choice

 $\angle2\$  is an exterior angle to  $\Delta$  PQR. What are the corresponding remote interior angles?

•  $\angle$  QRP and  $\angle$  6
  

•  $\angle$  PRQ and  $\angle$  8

•  $\angle$  RQP and  $\angle$  3

Explore activity

What is the largest angle of the triangle?

What is the longest side of the triangle?

Theorem 6.8: Exterior angle inequality

Remember,each exterior angle of a triangle has two remote interior angles that are not adjacent to the exterior angle

angle 1 and angle 2 remote interior angles

that are not adjacent to the exterior

angle.

What are the corresponding remote interior angles?

what is an exterior angle?

Multiple Choice

What are the corresponding remote interior angles?

• Angle A and angle B

• Angle A and angle D

• Angle C and angle B

• Angle C and angle D

Multiple Choice

What is an exterior angle?

• angle B

• angle C

• angle D

• angle A

Fill in the Blanks