The construction of a triangle is not possible when

its perimeter and two base angles are given

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its base, a base angle and the sum of other two sides are given

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its base, a base angle and the difference of other two sides are given

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its base, a base angle and perimeter are given

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Solution

The correct option is D its base, a base angle and perimeter are given
Construction of the triangle when it's perimeter and two base angles are given is as follows

Construction of a Triangle with Given Base, Base Angle and Difference between Two Sides(AC >AB)

Construction of a Triangle with Given Base, Base Angle and Sum of Other Two Sides

A triangle cannot be constructed when its base, a base angle and perimeter are given.

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