ORDER THE SIDE LENGTHS FROM LEAST TO GREATEST WORKSHEET

Problem 1 :

In ∆ABC, m∠A = 90, m∠B = 55 and m∠C = 35.

a) List the sides in order from smallest to largest.

b) Classify the triangle by its sides.

Solution

Problem 2 :

In ∆ABC, m∠B = 140 and m∠C = 20.

a) List the sides in order from smallest to largest.

b) Classify the triangle by its angles.

Solution

Problem 3 :

In ∆PQR, PQ = 8, QR = 12, and RP = 13.

a) List the angles in order from smallest to largest.

b) Classify the triangle by its sides.

Solution

Problem 4 :

In ∆ABC, measure of ∠ACB = 70˚ and the measure of ∠ABC = 65˚

a) List the sides in order from smallest to largest.

b) Classify the triangle by its angles.

Solution

Problem 5 :

The triangle above is isosceles and b > a. Which of the following must be FALSE ?

a)  AB = BC     b)  AB = AC     c)  AC = BC     d) a = c

Solution

Problem 6 :

As shown in the diagram below of ABC, BC is extended through D, m∠A = 70, and m∠ACD = 115

Which statement is true?

a) AC > AB      b) AB > BC      c) BC < AC      d) AC < AB

Solution

Problem 7 :

In ABC, m∠A = 60, m∠B = 80, and m∠C = 40. Which inequality is true?

a) AB > BC     b) AC > BC      c) AC < BA     d) BC < BA

Solution

Problem 8 :

In triangle ABC, m∠B < m∠A < m∠C. Which statement is false?

a) AC > BC     b) BC > AC     c) AC < AB      d) BC < AB

Solution

Problem 9 :

∆XYZ is an isosceles triangle with equal angles 1 and 2 shown. Find :

a) the size of ∠2 if ∠X = 56°.

b) the size of ∠3.

c) the longest side of ∆XYZ.

Solution

Problem 10 :

∆RST is isosceles with angles S and T equal. ∠R = 40°.

a) What is the size of ∠S?

b) What is the shortest side of ∆RST?

Solution