Question

Which side of triangle ABC is the longest ?

A - 61 degrees
B - 60 degrees
C - 59 degrees
Multiple choice:
A: AB
B: BC
C: AC
D: Cannot be determined

Answer 1

B: BC

The longest side of a triangle is the side that is across from the largest angle. Angle A is the largest angle and is across from side BC, so side BC is the longest side of triangle ABC

Answer 2

B: BC

Explanation:

In a triangle, the opposite side of largest angle is largest, the opposite side of smallest angle is smallest and the opposite side of medium angle is medium,

Given,

ABC is a triangle in which,

m∠ A - 61° , m∠ B - 60° and m∠ C - 59°

Thus, ∠ A > ∠ B > ∠ C

Since, angle A, angle B and angle C are the opposite angle of the sides BC, CA and AB respectively,

⇒ BC > CA > AB.

Hence, the longest sides of triangle ABC is BC.

⇒ Option B is correct.