If two isosceles triangles have a common...

If two isosceles triangles have a common base, prove that the line joining their vertices bisects them at right angles.

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To prove that the line joining the vertices of two isosceles triangles with a common base bisects the base at right angles, we can follow these steps: ### Step-by-Step Solution: 1. **Draw the Isosceles Triangles**: Let triangles ABC and ADC be two isosceles triangles with a common base BC. Here, AB = AC and AD = AC (since both triangles are isosceles). 2. **Identify the Midpoint**: ...

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