# A geometry problem by Toni Shani

Geometry Level 3

It is given e right triangle $$ABC$$, where $$\hat { A } ={ 90 }^{ \circ }$$. $$AH$$ is the altitude of $$A$$ to $$BC$$.

Which of the following sentences is/are true?

a) $$BC,BA,BH$$ follows a geometric progressions

b)$$BH,AH,CH$$ does not follow a geometric progression.

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