Question

List the angles in order from the largest to smallest for triangle abc. AB=14 AC=15 BC=16

A)C,A,B
B)A,C,B
C)A,B,C
D) C,B,A

Answer 1

The largest angel is opposite to the largest side.

Because of BC > AC > AB it must be

c) A, B, C

Answer 2

C) A, B, C

Explanation:

In a triangle the angle opposite to shortest side is smallest, opposite to medium side is medium, opposite to largest side is largest,

In triangle ABC,

∠A, ∠B and ∠C are opposite angle to the sides BC, AC and AB respectively,

Given,

AB = 14 AC = 15 BC = 16,

⇒ AB < AC < BC

By the above statement,

∠ C < ∠ B < ∠ A

Hence, the angles in order from the largest to smallest for triangle ABC is,

A, B, C

Option 'C' is correct.