Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=19.42223257971 and with side c=16.70765470629

#1 Acute scalene triangle.

Sides: a = 24.7   b = 16.9   c = 19.42223257971

Area: T = 163.5888030126
Perimeter: p = 61.02223257971
Semiperimeter: s = 30.51111628985

Angle ∠ A = α = 85.39114031612° = 85°23'29″ = 1.49903611381 rad
Angle ∠ B = β = 43° = 0.75504915784 rad
Angle ∠ C = γ = 51.60985968388° = 51°36'31″ = 0.90107399372 rad

Height: ha = 13.24659943422
Height: hb = 19.36595301925
Height: hc = 16.84553594935

Median: ma = 13.37551960615
Median: mb = 20.54988654111
Median: mc = 18.80327475428

Inradius: r = 5.3621579651
Circumradius: R = 12.39900591187

Vertex coordinates: A[19.42223257971; 0] B[0; 0] C[18.064443643; 16.84553594935]
Centroid: CG[12.4965587409; 5.61551198312]
Coordinates of the circumscribed circle: U[9.71111628985; 7.69546007123]
Coordinates of the inscribed circle: I[13.61111628985; 5.3621579651]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 94.60985968388° = 94°36'31″ = 1.49903611381 rad
∠ B' = β' = 137° = 0.75504915784 rad
∠ C' = γ' = 128.3911403161° = 128°23'29″ = 0.90107399372 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    9. Calculation of medians #2 Obtuse scalene triangle.

Sides: a = 24.7   b = 16.9   c = 16.70765470629

Area: T = 140.7143895585
Perimeter: p = 58.30765470629
Semiperimeter: s = 29.15332735314

Angle ∠ A = α = 94.60985968388° = 94°36'31″ = 1.65112315155 rad
Angle ∠ B = β = 43° = 0.75504915784 rad
Angle ∠ C = γ = 42.39114031612° = 42°23'29″ = 0.74398695597 rad

Height: ha = 11.39438376992
Height: hb = 16.65325320219
Height: hc = 16.84553594935

Median: ma = 11.3954597728
Median: mb = 19.3188303688
Median: mc = 19.4444094767

Inradius: r = 4.82766928046
Circumradius: R = 12.39900591187

Vertex coordinates: A[16.70765470629; 0] B[0; 0] C[18.064443643; 16.84553594935]
Centroid: CG[11.5990327831; 5.61551198312]
Coordinates of the circumscribed circle: U[8.35332735314; 9.15107587812]
Coordinates of the inscribed circle: I[12.25332735314; 4.82766928046]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 85.39114031612° = 85°23'29″ = 1.65112315155 rad
∠ B' = β' = 137° = 0.75504915784 rad
∠ C' = γ' = 137.6098596839° = 137°36'31″ = 0.74398695597 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     