In triangle ABC AB = 4cm, BC = 5cm, AC = 6cm Compare angles A, B and C.

1. In any triangles, according to the theorem on the ratio of its angles and sides, opposite the larger side is also the larger angle.

In a given triangle, the AC side has the greatest length (6 centimeters).

Therefore, ∠В is the largest.

2. The length of the BC side equal to 5 centimeters is greater than the AB side equal to 4 centimeters.

Therefore, ∠A is greater than C.

3. ∠С – the smallest of all the angles of the triangle.

Answer: ∠В – the largest of all the angles of the triangle; ∠С – the smallest of all the angles of the triangle; ∠А is more than ∠С, but less than ∠В.



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