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- Homework Statement
- Prove that the medians bisecting the equal sides of an isosceles triangle are equal.

- Relevant Equations
- a · b = |a| × |b| × cos(θ)

a · b = ax × bx + ay × by

Hi everyone

I have the solutions for the problem. It makes sense except for one particular step.

Why does the dot product of a and b equal zero? I thought this would only be the case if a and b were at right angles to each other. The solutions seem to be a general proof and should work for all isosceles triangles (not just right angle triangles).

The solution would still make sense even if a · b didn't equal zero. Why does it equal zero here?

Thanks

I have the solutions for the problem. It makes sense except for one particular step.

Why does the dot product of a and b equal zero? I thought this would only be the case if a and b were at right angles to each other. The solutions seem to be a general proof and should work for all isosceles triangles (not just right angle triangles).

The solution would still make sense even if a · b didn't equal zero. Why does it equal zero here?

Thanks