Consider △ABC, with B = 90.. Let I be the incenter.
ID and IF are perpendicular to BC and AB respectively.
Show that ✷IF BD is a square.
Compute the area of △ABC using ∆ = rs and also using 1
2
(AB)(AC).
Equate these two areas to obtain one more proof of PT.
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Consider △ABC, with B = 90.. Let I be the incenter.
ID and IF are perpendicular to BC and AB respectively.
Show that ✷IF BD is a square.
Compute the area of △ABC using ∆ = rs and also using 1
2
(AB)(AC).
Step-by-step explanation:
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