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In triangle ABC, base BC is fixed. Then ...

In triangle ABC, base BC is fixed. Then prove that the locus of vertex A such that tan B+tan C= Constant is parabola.

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To prove that the locus of vertex A in triangle ABC, where base BC is fixed and tan B + tan C = constant, is a parabola, we can follow these steps: ### Step 1: Define the Triangle Let triangle ABC be defined with points B and C fixed on the x-axis. We can assign coordinates to these points: - Let B = (0, 0) - Let C = (k, 0), where k is a fixed length. ### Step 2: Assign Coordinates to Vertex A ...
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