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Given AB = 3 cm, AC = 5 cm, and ∠B = 30°, ΔABC cannot be uniquely constructed, with AC as a base, why?

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The vertex B cannot be uniquely located

Two sides and included angle are given.

The other two angles are not given.

The vertex A coincides with the vertex C.

answer is C.

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Detailed Solution

Given AB = 3 cm, AC = 5 cm, and ∠B = 30°.

By keeping AC as a base, ΔABC cannot be uniquely constructed because vertex B cannot be uniquely located.

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