# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=221.5165817126 and with side c=66.61437533269

### #1 Acute scalene triangle.

Sides: a = 234   b = 200   c = 221.5165817126

Area: T = 20423.15109807
Perimeter: p = 655.5165817126
Semiperimeter: s = 327.7587908563

Angle ∠ A = α = 67.21661851352° = 67°12'58″ = 1.17331437412 rad
Angle ∠ B = β = 52° = 0.9087571211 rad
Angle ∠ C = γ = 60.78438148648° = 60°47'2″ = 1.06108777013 rad

Height: ha = 174.5576845989
Height: hb = 204.2321509807
Height: hc = 184.3954516344

Median: ma = 175.6299236229
Median: mb = 204.726574
Median: mc = 187.3788455781

Inradius: r = 62.31216954531
Circumradius: R = 126.9021821507

Vertex coordinates: A[221.5165817126; 0] B[0; 0] C[144.0654785226; 184.3954516344]
Centroid: CG[121.8660200784; 61.46548387813]
Coordinates of the circumscribed circle: U[110.7587908563; 61.94215691815]
Coordinates of the inscribed circle: I[127.7587908563; 62.31216954531]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 112.7843814865° = 112°47'2″ = 1.17331437412 rad
∠ B' = β' = 128° = 0.9087571211 rad
∠ C' = γ' = 119.2166185135° = 119°12'58″ = 1.06108777013 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 = 234   b = 200   c = 66.61437533269

Area: T = 6141.605541328
Perimeter: p = 500.6143753327
Semiperimeter: s = 250.3076876663

Angle ∠ A = α = 112.7843814865° = 112°47'2″ = 1.96884489124 rad
Angle ∠ B = β = 52° = 0.9087571211 rad
Angle ∠ C = γ = 15.21661851352° = 15°12'58″ = 0.26655725302 rad

Height: ha = 52.49223539597
Height: hb = 61.41660541328
Height: hc = 184.3954516344

Median: ma = 92.35663536859
Median: mb = 139.9888199739
Median: mc = 215.1011492247

Inradius: r = 24.53663031777
Circumradius: R = 126.9021821507

Vertex coordinates: A[66.61437533269; 0] B[0; 0] C[144.0654785226; 184.3954516344]
Centroid: CG[70.22661795177; 61.46548387813]
Coordinates of the circumscribed circle: U[33.30768766634; 122.4532947162]
Coordinates of the inscribed circle: I[50.30768766634; 24.53663031777]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 67.21661851352° = 67°12'58″ = 1.96884489124 rad
∠ B' = β' = 128° = 0.9087571211 rad
∠ C' = γ' = 164.7843814865° = 164°47'2″ = 0.26655725302 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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