# The angle opposite to longest side is greatest

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- Mathguru

On the screen , you see a triangle ABC in red colour.As we will drag the vertices of the triangle, the length of sides AB(c),BC(a),AC (b) will change and the measure of angles opposite to these sides will also change. Observe the angle opposite to the longest side will always be greater than the other two angles

1. Set the length of a such that a> b and a>c. Compare angle A with angle B and C?
2. Set the length of b such that b> a and b>c. Compare angle B with angle A and C?
3. Set the length of c such that c> a and c>b. Compare angle C with angle A and B?
4.Compare the measures of angles A, B and C when a = b and c is the longest side