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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The two equal sides of an isosceles triangle are each 40 centimeters. If the base measures 36 centimeters, find the height h and the measure of the two equal angles, θ. Round

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