HogRider69

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I need your help right now

Let ABC be an acute-angled triangle and let ha, hb, hc be the lengths of its altitudes, while r and R denote the inradius and the circumradius of ABC, respectively. Prove that
a) AH + BH + CH = 2R(cos A + cos B + cos C); (Hint: In order read more ..

HogRider69 Jul 3, 2023

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Geometry

Let ABC be a triangle, let M be the midpoint of side BC, and let D be a point on side BC such that ∠DAB = ∠MAC.
(a) Prove that, DB / DC = c^2 / b^2
(b) Using (a), Prove that, AD = [2bc / (b^2 + c^2)] · ma

HogRider69 Jul 2, 2023