Exploring Angle and Side Relationships in Triangles

What is the relationship between the size of an angle and the side opposite to it in a triangle?

• The size of the angle and the opposite side are always equal.

• The larger the angle, the smaller the opposite side.

• The larger the angle, the larger the opposite side.

• The size of the angle does not affect the opposite side.

If side BC is the smallest side in a triangle, which angle is the smallest?

• Angle B

• Angle A

• Angle C

• Angle D

Which angle is the largest if side AB is the longest side in a triangle?

• Angle D

• Angle C

• Angle B

• Angle A

How can you find the third angle in a triangle if you know the other two angles?

• Multiply the two angles together.

• Subtract the sum of the two angles from 180 degrees.

• Add the two angles together.

• Divide the sum of the two angles by 2.

If angle F is 35 degrees, which side is the shortest?

• Side ED

• Side FD

• Side EF

• Side FE

Which side is the longest if angle F is 103 degrees?

• Side EF

• Side FE

• Side FD

• Side ED

If side 17 is the shortest side in a triangle, which angle is the smallest?

• Angle M

• Angle Q

• Angle P

• Angle N

Which angle is the largest if side 24 is the longest side in a triangle?

• Angle M

• Angle N

• Angle P

• Angle Q

If angle K is 92 degrees, which side is the longest?

• Side KL

• Side KJ

• Side JL

• Side JK

Which side is the shortest if angle K is 31 degrees?

• Side KJ

• Side JK

• Side JL

• Side KL