Triangle Inequality and Angle Sum Theory

The smallest angle would be located where in a triangle?

• Across from the smallest side.

• Across from the largest side

• Cannot tell

Where would the largest side of a triangle be located?

• Across from the largest angle.

• Across from the smallest angle.

• Next to the smallest side.

• Across the smallest side.

Name the angles from SMALLEST to LARGEST

• Q, R, P

• P, Q, R

• R, P, Q

• R, Q, P

Name the sides from SMALLEST to LARGEST

• RS, ST, TR

• ST, RT, RS

• RT, ST, RS

• RT, RS, ST

Two sides of a triangle have the following measures. Find the range of possible measures for the third side.

• 4 < x < 16

• 6 < x < 16

• 5 < x < 16

• 4 < x < 15

State if the three numbers can be the measures of the sides of a triangle.

• Yes

• No

Noah cut strips of plywood for a home improvement project. Two of the strips were 14 inches each and the third strip was 30 inches. Could Noah make a triangle with these strips of plywood?

​ ​ (a)   because the sum of the 2 shorter sides is ​ ​ (b)   the longest side.

• No

• less than

• Yes

• greater than

Max cut strips of plywood for a home improvement project. Two of the strips were 8 inches each and the third strip was 14 inches. Could Max make a triangle with these strips of plywood?​ (a)   because the sum of the 2 shorter sides is ​ (b)   the longest side.

• Yes

• greater than

• No

• less than

Max cut strips of plywood for a home improvement project. Two of the strips were 8 inches each and the third strip was 14 inches. Could Max make a triangle with these strips of plywood?

​ (a)   because the sum of the 2 shorter sides is ​ (b)   the longest side.

• Yes

• greater than

• No

• less than

If the measure of the base of an isosceles triangle is 59ft. What is the smallest side possible for the other two legs?

• 15

• 30

• 45

• 60