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Module 1: Scalar products of vectors

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Example 3 (midpoints)

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Advanced Mathematics - Using the dot product in vector proofs - example 3
(midpoints)

Using the dot product in vector proofs - example 3 (midpoints)

Isosceles triangle

Prove the line joining the vertex to the midpoint of the base of an
isosceles triangle is perpendicular to the base.

The line joining the vertex to the midpoint of the base of an isosceles
triangle is BD.

Let

So the base of the isosceles triangle is perpendicular to the line joining
the vertex to the midpoint of the base.

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