Triangle calculator SSA
Triangle has two solutions with side c=311.9990016873 and with side c=76.89547681098
#1 Obtuse scalene triangle.
Sides: a = 242.2 b = 186.2 c = 311.9990016873Area: T = 22526.56328857
Perimeter: p = 740.3990016873
Semiperimeter: s = 370.1955008436
Angle ∠ A = α = 50.85440734067° = 50°51'15″ = 0.8887571019 rad
Angle ∠ B = β = 36.6° = 36°36' = 0.63987905062 rad
Angle ∠ C = γ = 92.54659265933° = 92°32'45″ = 1.61552311284 rad
Height: ha = 186.0166208801
Height: hb = 241.9610933252
Height: hc = 144.4065664717
Median: ma = 226.5810880293
Median: mb = 263.3099125011
Median: mc = 149.4366265153
Inradius: r = 60.85105311319
Circumradius: R = 156.149913753
Vertex coordinates: A[311.9990016873; 0] B[0; 0] C[194.4422392491; 144.4065664717]
Centroid: CG[168.8110803121; 48.13552215722]
Coordinates of the circumscribed circle: U[155.9955008436; -6.93661728921]
Coordinates of the inscribed circle: I[183.9955008436; 60.85105311319]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129.1465926593° = 129°8'45″ = 0.8887571019 rad
∠ B' = β' = 143.4° = 143°24' = 0.63987905062 rad
∠ C' = γ' = 87.45440734067° = 87°27'15″ = 1.61552311284 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

#2 Obtuse scalene triangle.
Sides: a = 242.2 b = 186.2 c = 76.89547681098Area: T = 5552.022005106
Perimeter: p = 505.295476811
Semiperimeter: s = 252.6477384055
Angle ∠ A = α = 129.1465926593° = 129°8'45″ = 2.25440216346 rad
Angle ∠ B = β = 36.6° = 36°36' = 0.63987905062 rad
Angle ∠ C = γ = 14.25440734067° = 14°15'15″ = 0.24987805128 rad
Height: ha = 45.84765735018
Height: hb = 59.63550166602
Height: hc = 144.4065664717
Median: ma = 75.00994172843
Median: mb = 153.6855434187
Median: mc = 212.5733372414
Inradius: r = 21.97553712148
Circumradius: R = 156.149913753
Vertex coordinates: A[76.89547681098; 0] B[0; 0] C[194.4422392491; 144.4065664717]
Centroid: CG[90.44657202004; 48.13552215722]
Coordinates of the circumscribed circle: U[38.44773840549; 151.3421837609]
Coordinates of the inscribed circle: I[66.44773840549; 21.97553712148]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 50.85440734067° = 50°51'15″ = 2.25440216346 rad
∠ B' = β' = 143.4° = 143°24' = 0.63987905062 rad
∠ C' = γ' = 165.7465926593° = 165°44'45″ = 0.24987805128 rad
Calculate another triangle
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
