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In triangle ABC, angle A = 34 degrees and angle B = 66 degrees. Find the shortest and longest sides of the triangle.

Answer :

The shortest side of triangle ABC is AB and the longest side of triangle ABC is BC.

The measures of the angles of a triangle add up to 180 degrees.

angle A + angle B + angle C = 180

34 + 66 + angle C = 180

angle C = 80

Therefore, angle C is 80 degrees.

The longest side of a triangle is opposite the largest angle. The smallest side of a triangle is opposite the smallest angle.

In triangle ABC, angle C is the largest angle, so side BC is the longest side. Side AB is opposite angle A, which is the smallest angle, so side AB is the shortest side.

Therefore, the shortest side of triangle ABC is AB and the longest side of triangle ABC is BC.

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