The Shulbasutras of Baudhayana, Apastamba, Katyayana and Manava: With Text, English Translation and Commentary c8.t2.59

c8.t2.59

**2.7-2.8.** Baudhāyana has given a method of constructing a triangle or a rhombus whose area is equal to that of a given rectangle. For the construction of a triangle as described in *sūtra* (*Bśl.* 2.7), a square is to be constructed whose area will be twice that of the given rectangle. A rectangle twice the area is first constructed and then transformed into a square by the method described in *Bśl.* 2.5. Let *ABCD* be the transformed square and *E* the middle point of *AD*. Join *EB*, *EC*. Then *EBC* is the required triangle whose area is equal to that of the given rectangle (Fig. 22).