9. Triangles - Deepstash

9. Triangles

A major portion of Brahmagupta’s work was dedicated to the study of geometry. One of his theorem about triangles states that,

The base decreased and increased by the difference between the squares of the sides divided by the base; when divided by two they are the true segments. The perpendicular altitude is the square-root from the square of a side diminished by the square of its segment.”

This theorem gives the length of two segments in which the base of a triangle is divided by its altitude, and the lengths are, 12(b ± (c2 − a2)

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vedarham

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