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GENERAL TRIANGLE SOLUTIONS:
in counterclockwise order around triangle.2. First side input, "S1", is always denoted as
"a", and may be any of the 3 sides. Theremaining 2 sides, "b" and "c", follow incounterclockwise order around triangle.
3.
General Triangle Nomenclature("Right" triangle depicted, but not required.) 4. Angles are input in degrees.
Side-Side-Side (SSS) Input: Results:Area
3.0000 4.0000 5.0000 3.0000 36.8699 4.0000 53.1301 5.0000 90.0000 6.00
Side-Angle-Side (SAS) Input: Results:c Area
3.0000 90.0000 4.0000 3.0000 36.8699 4.0000 53.1301 5.0000 90.0000 6.00
Angle-Side-Angle (ASA) Input: Results:b c Area
53.1301 3.0000 90.0000 3.0000 36.8699 4.0000 53.1301 5.0000 90.0000 6.00
Side-Angle-Angle (SAA) Input: Results:b c Area
3.0000 90.0000 36.8699 3.0000 36.8699 4.0000 53.1301 5.0000 90.0000 6.00
Side-Side-Angle (SSA) Input: Results:c Area
3.0000 4.0000 36.8699 3.0000 36.8699 4.0000 53.1301 5.0000 90.0000 6.00
Notes: 1. Input SSS, SAS, ASA, SAA, or SSA values
Angle "LA" is angle opposite side "a".Angle "LB" is angle opposite side "b".Angle "LC" is angle opposite side "c".
S1 S2 S3 S1 = a LA S2 = b LB S3 = c LC
S1 L1 S2 S1 =a LA S2 = b LB L1 = LC
L1 S1 L2 S1 = a LA L1 = LB L2 = LC
S1 L1 L2 S1 = a L2 = LA LB L1 = LC
S1 S2 L1 S1 = a L1 = LA S2 = b LB LC
LA
LB
LC
a
b
c
RIGHT TRIANGLE SOLUTIONS:
Input: Results:a b c % Slope Area3 4 5.0000 36.8699 53.1301 90 75.00 6.00
a c b % Slope Area3 5 4.0000 36.8699 53.1301 90 75.00 6.00
b c a % Slope Area4 5 3.0000 36.8699 53.1301 90 75.00 6.00
Right Triangle Nomenclaturea b c % Slope Area3 36.8699 4.0000 5.0000 53.1301 90 75.00 6.00
side and angle nomenclature above.a b c % Slope Area3 53.1301 4.0000 5.0000 36.8699 90 75.00 6.00
b a c % Slope Area4 36.8699 3.0000 5.0000 53.1301 90 75.00 6.00
b a c % Slope Area4 53.1301 3.0000 5.0000 36.8699 90 75.00 6.00
c a b % Slope Area5 36.8699 3.0000 4.0000 53.1301 90 75.00 6.00
c a b % Slope Area5 53.1301 3.0000 4.0000 36.8699 90 75.00 6.00
LA LB LC
LA LB LC
LA LB LC
LA LB LC
Note: Input and results strictly adhere to
LB LA LC
LA LB LC
LB LA LC
LA LB LC
LB LA LC
LA
LB
LC=90o
ac
b
OBLIQUE TRIANGLE SOLUTIONS:
Input: Results:a b c Area
10.0000 20.0000 22.0000 27.0123 65.2801 87.7076 99.92
a c b Area10.0000 22.0000 65.2801 20.0000 27.0123 87.7076 99.92
a c b Area10.0000 22.0000 87.7076 20.0000 27.0123 65.2801 99.92 Acute Triangle Nomenclature
(Oblique triangle with all angles < 90 degrees.)
a b c Area12.0000 25.0000 40.0000 18.2516 25.7341 115.0000 99.25
c a b Area25.7341 25.0000 115.0000 12.0000 18.2516 40.0000 99.25
c a b Area25.7341 40.0000 115.0000 12.0000 18.2516 25.0000 99.25
Obtuse Triangle Nomenclature(Oblique triangle with one angle > 90 degrees.)
non-Oblique triangle with one angle = 90 degrees. side and angle nomenclature above.
LA LB LC
LB LA LC
LC LA LB
LA LB LC
LA LC LB
LB LC LA
Note: This worksheet may also be used for a Right triangle, a Note: Input and results strictly adhere to
LA
LB
LC
LA
LB
LC
a
a
c
c
b
b
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