In a triangle ABC AB + AC = 3.1 cm, BC = 1.5 cm. Can angle A be the largest angle of a triangle?
| July 28, 2021 | education
The side BC, which, according to the condition, is equal to 1.5 cm, is located opposite the corner A.
The larger side of the triangle lies opposite the larger angle of the triangle, therefore, in order for the angle A to be greatest, the side BC must also be the largest.
Since the sum of AB + AC = 3.1 cm, then any of the sides AB or AC will be larger than BC, so the angle A cannot be the greatest.
Answer: No, it cannot.
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