geometry - How to construct an isosceles triangle given the base

I've got this math exercise. It reads: Construct an isosceles triangle given the base angle and height to one side. How many solutions exist? Why? I made a sketch, but still can't figure out

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An isosceles triangle has a base of 12 cm with equal sides of 20 cm each. How do you determine the area of this triangle accurate to the nearest square centimeter?

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Question 2 - Construct an isosceles triangle in which the lengths of

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geometry - Solve for the base of an isosceles triangle - Mathematics Stack Exchange

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