Side Lengths of a Triangle

Which shows the sides of ∆XYZ in order from longest to shortest?

• ZY, XZ, XY

• ZY, XY, XZ

• XY, XZ, ZY

• XY, YZ, ZX

Carlos has 60 feet of fence to make a triangular garden. Which of the following sets of side lengths will NOT work?

• 20 feet, 20 feet, 20 feet

• 15 feet, 20 feet, 25 feet

• 10 feet, 25 feet, 25 Feet

• 10 feet, 15 feet, 35 feet

A triangular playground has two sides measuring 50 feet and 85 feet. What are the possible measures of the third side of the triangle?

• 0 feet and 134 feet

• 36 feet and 134 feet

• 35 feet and 135 feet

• 0 feet and 135 feet

Which statement can be proven using the converse of the Hinge Theorem?

• m∠ EAB < m∠CBD

• m∠ EAB > m∠CBD

• EB > CD

• EB < CD

Which of the following statement is true.

• JL = KL

• KL = KM

• JL< KM

• JL > KM

Which of the following statement is true if m∠QRW < m∠XRW?

• WX = RW

• QW = RW

• WX < QW

• WX>QW

Maria has 80 feet of fence to make a triangular garden. Which of the following sets of side lengths will NOT work?

• 20 feet, 28 feet, 30 feet

• 20 feet, 20 feet, 25 feet

• 18 feet, 26 feet, 36 feet

• 12 feet, 16 feet, 36 feet

In the figure below m∠P < m∠X. What conclusion can you make using the Hinge Theorem?

• PR = XZ

• PQ = XY

• QR> YZ

• YZ > QR

The triangle inequality theorem states the sum of the lengths of any two sides of a

triangle is ______________ the length of the third side.

• less than or equal to

• greater than or equal to

• less than

• greater than

Does this triangle with these side lengths exist? 12, 9, 6

• Maybe

• I don’t know

• No

• Yes