Little explorations with HP calculators (no Prime)

04092017, 03:40 PM
(This post was last modified: 04092017 03:43 PM by Gerson W. Barbosa.)
Post: #166




RE: Little explorations with the HP calculators
(04082017 09:17 PM)Gerson W. Barbosa Wrote: Sabc a b c A more compact formula in terms of the relationships between the segments and the sides of the outer triangle is better: Given the triangles ABC and DEF, where BC = a BF = r = a/x CF = a  r AC = b CE = s = b/y AE = b  s AB = c AD = t = c/z BD = c  t Then SΔABC x y z  =  SΔDEF z + (x y  x  y)(z  1) Examples: 1) x = 2, y = 3, z = 4 SΔABC/SΔDEF = (2*3*4)/(4 + (2*3  2  3)*(4  1) = 24/7 2) x = 2, y = 3, z = 2 SΔABC/SΔDEF = (2*3*2)/(2 + (2*3  2  3)*(2  1) = 4 

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