Question

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

1. m ∠ A=36, m ∠ B=42, m ∠ C= 102

2. m ∠ A = 53, m ∠ B = 72, m ∠ C = 55

Answer 1

• 1. BC, AC, AB
• 2. BC, AB, AC

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. m ∠A = 36, m ∠B = 42, m ∠C = 102

Put in ascending order:

• A < B < C

So the opposite sides are:

• BC < AC < AB

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2. m ∠A = 53, m ∠B = 72, m ∠C = 55

Put in ascending order:

• A < C < B

So the opposite sides are:

• BC < AB < AC