# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=50.92766798569 and with side c=9.88218537045

### #1 Obtuse scalene triangle.

Sides: a = 37.3   b = 29.8   c = 50.92766798569

Area: T = 550.1911166025
Perimeter: p = 118.0276679857
Semiperimeter: s = 59.01333399284

Angle ∠ A = α = 46.47549553293° = 46°28'30″ = 0.81111409902 rad
Angle ∠ B = β = 35.4° = 35°24' = 0.61878465552 rad
Angle ∠ C = γ = 98.12550446707° = 98°7'30″ = 1.71326051082 rad

Height: ha = 29.5010866811
Height: hb = 36.92655816124
Height: hc = 21.60771877284

Median: ma = 37.3222390875
Median: mb = 42.07661020132
Median: mc = 22.16549119035

Inradius: r = 9.32331660281
Circumradius: R = 25.72215333613

Vertex coordinates: A[50.92766798569; 0] B[0; 0] C[30.40442667807; 21.60771877284]
Centroid: CG[27.11103155459; 7.20223959095]
Coordinates of the circumscribed circle: U[25.46333399284; -3.63553264154]
Coordinates of the inscribed circle: I[29.21333399284; 9.32331660281]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.5255044671° = 133°31'30″ = 0.81111409902 rad
∠ B' = β' = 144.6° = 144°36' = 0.61878465552 rad
∠ C' = γ' = 81.87549553293° = 81°52'30″ = 1.71326051082 rad

# How did we calculate this triangle?

### 1. Use Law of Cosines  Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. ### 2. The triangle circumference is the sum of the lengths of its three sides ### 3. Semiperimeter of the triangle ### 4. The triangle area using Heron's formula ### 5. Calculate the heights of the triangle from its area. ### 6. Calculation of the inner angles of the triangle using a Law of Cosines ### 7. Inradius ### 8. Circumradius ### 9. Calculation of medians ### #2 Obtuse scalene triangle.

Sides: a = 37.3   b = 29.8   c = 9.88218537045

Area: T = 106.7659534048
Perimeter: p = 76.98218537045
Semiperimeter: s = 38.49109268522

Angle ∠ A = α = 133.5255044671° = 133°31'30″ = 2.33304516634 rad
Angle ∠ B = β = 35.4° = 35°24' = 0.61878465552 rad
Angle ∠ C = γ = 11.07549553293° = 11°4'30″ = 0.1933294435 rad

Height: ha = 5.72443717988
Height: hb = 7.16550693992
Height: hc = 21.60771877284

Median: ma = 12.04325502415
Median: mb = 22.85773952216
Median: mc = 33.39553925241

Inradius: r = 2.77436285608
Circumradius: R = 25.72215333613

Vertex coordinates: A[9.88218537045; 0] B[0; 0] C[30.40442667807; 21.60771877284]
Centroid: CG[13.42987068284; 7.20223959095]
Coordinates of the circumscribed circle: U[4.94109268522; 25.24325141438]
Coordinates of the inscribed circle: I[8.69109268522; 2.77436285608]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 46.47549553293° = 46°28'30″ = 2.33304516634 rad
∠ B' = β' = 144.6° = 144°36' = 0.61878465552 rad
∠ C' = γ' = 168.9255044671° = 168°55'30″ = 0.1933294435 rad

# How did we calculate this triangle?

### 1. Use Law of Cosines  Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. ### 2. The triangle circumference is the sum of the lengths of its three sides ### 3. Semiperimeter of the triangle ### 4. The triangle area using Heron's formula ### 5. Calculate the heights of the triangle from its area. ### 6. Calculation of the inner angles of the triangle using a Law of Cosines ### 7. Inradius ### 8. Circumradius ### 9. Calculation of medians #### Look also our friend's collection of math examples and problems:

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