Question

Given the lengths of the three sides for ∆ABC, please list the angles in order from largest to smallest.

1. AB = 15, BC = 14, AC = 10

2. AC = 20, AB = 10, BC = 15

Answer 1

• 1. ∠B, ∠A, ∠C
• 2. ∠C, ∠A, ∠B

Explanation:

We know smaller side is opposite to smaller angle and the larger side is opposite to larger angle.

Considering this we have the following

1. AB = 15, BC = 14, AC = 10

Put in ascending order:

• AC < BC < AB

So the opposite angles are:

• B < A < C

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2. AC = 20, AB = 10, BC = 15

Put in ascending order:

• AB < BC < AC

So the opposite angles are:

• C < A < B