(41C) Area of Triangle (SSS)
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11-12-2018, 02:55 PM
(This post was last modified: 11-13-2018 03:49 AM by Albert Chan.)
Post: #9
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RE: (41C) Area of Triangle (SSS)
(11-10-2018 03:22 PM)Albert Chan Wrote: If the sides are sorted, a >= b >= c, Kahan's formula is more accurate. (11-12-2018 01:32 AM)Albert Chan Wrote: Let y = (c - (a-b))*(c + (a-b)) / 4, then Area Δ = √((ab-y)*y) Tried all Kahan's example (Table 1) with above Y formula (SSS => area): (10, 10, 10) => 43.30127019 (100000, 99999.99979. 0.00029) => 9.9999 99989 (100000, 100000, 1.00005) => 52002.50002 (15000, 10000, 5000.000001) => 612.37 24357 (99999.99996, 99999.99994, 0.00003) => 1.1180 33988 (200000, 99999.99999, 99999.99999) => Error (99999.99996, 94721.35941, 5278.64055) => 0 (200004, 100002, 100002) => 0 (31622.77662, 31622.77661, 0.000023) => 0.3274 90458 (31622.77662, 31622.77661, 0.0155555) => 245.95 40000 Edit: this is the HP-12C code for above tests (order does not matter): Example: 2 Enter 3 Enter 4 R/S => 2.904737510 Code: X≤Y |
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Messages In This Thread |
(41C) Area of Triangle (SSS) - Gamo - 11-10-2018, 12:20 PM
RE: (41C) Area of Triangle (SSS) - Albert Chan - 11-10-2018, 03:22 PM
RE: (41C) Area of Triangle (SSS) - Dieter - 11-10-2018, 08:53 PM
RE: (41C) Area of Triangle (SSS) - Albert Chan - 11-12-2018 02:55 PM
RE: (41C) Area of Triangle (SSS) - Dieter - 11-12-2018, 08:28 PM
RE: (41C) Area of Triangle (SSS) - Albert Chan - 11-12-2018, 10:33 PM
RE: (41C) Area of Triangle (SSS) - Gamo - 11-11-2018, 05:04 AM
RE: (41C) Area of Triangle (SSS) - Dieter - 11-11-2018, 07:53 AM
RE: (41C) Area of Triangle (SSS) - Gamo - 11-11-2018, 12:23 PM
RE: (41C) Area of Triangle (SSS) - Dieter - 11-11-2018, 04:25 PM
RE: (41C) Area of Triangle (SSS) - Albert Chan - 11-12-2018, 01:32 AM
RE: (41C) Area of Triangle (SSS) - Albert Chan - 11-16-2018, 03:33 AM
RE: (41C) Area of Triangle (SSS) - Albert Chan - 12-04-2019, 03:03 PM
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