IDENTIFYING THE LARGEST TO SMALLEST SIDE OF TRIANGLE WORKSHEET

Problem 1 :

For which measures of the sides of ABC is angle B the largest angle of the triangle?

a) AB = 2, BC = 6, AC = 7

b) AB = 6, BC = 12, AC = 8

c) AB = 16, BC = 9, AC = 10

d) AB = 18, BC = 14, AC = 5

Solution

Problem 2 :

As shown in the diagram of ACD below, B is a point on AC and DB is drawn.

If m∠A = 66, m∠CDB = 18, and m∠C = 24, what is the longest side of ABD?

a) AB        b) DC      c) AD      d) BD

Solution

Problem 3 :

In CAT, m∠C = 65, m∠A = 40, and B is a point on side CA, such that TB ⊥ CA. Which line segment is shortest ?

a) CT     b) BC      c) TB       d) AT

Solution

Problem 4 :

In the diagram of quadrilateral NAVY below, m∠YNA = 30°, m∠YAN = 38°, m∠AVY = 94°, and m∠VAY = 46°.

Which segment has the shortest length?

a) AY      b) NY     c) VA       d) VY

Solution

Problem 5 :

In the diagram below of ABC with side AC extended through D, m∠A = 37 and m∠BCD = 117. Which side of ABC is the longest side? Justify your answer.

Solution

Problem 6 :

As shown in the diagram below, AS is a diagonal of trapezoid STAR, RA||ST, m∠ATS = 48, m∠RSA = 47, and m∠ARS = 68

Determine and state the longest side of SAT.

Solution

Problem 7 :

In ABC, m∠A = x² + 12, m∠B = 11x + 5, and m∠C = 13x − 17. Determine the longest side of ABC.

Solution