# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=7.42552681386 and with side c=2.17550056292

### #1 Obtuse scalene triangle.

Sides: a = 5.6   b = 3.9   c = 7.42552681386

Area: T = 10.70880282619
Perimeter: p = 16.92552681386
Semiperimeter: s = 8.46326340693

Angle ∠ A = α = 47.69224029317° = 47°41'33″ = 0.83223894593 rad
Angle ∠ B = β = 31° = 0.54110520681 rad
Angle ∠ C = γ = 101.3087597068° = 101°18'27″ = 1.76881511261 rad

Height: ha = 3.82442958078
Height: hb = 5.49112965446
Height: hc = 2.88442132195

Median: ma = 5.22880305532
Median: mb = 6.28105098094
Median: mc = 3.08224257116

Inradius: r = 1.2655330413
Circumradius: R = 3.78661278515

Vertex coordinates: A[7.42552681386; 0] B[0; 0] C[4.88001368839; 2.88442132195]
Centroid: CG[4.07551350075; 0.96114044065]
Coordinates of the circumscribed circle: U[3.71326340693; -0.74223694331]
Coordinates of the inscribed circle: I[4.56326340693; 1.2655330413]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132.3087597068° = 132°18'27″ = 0.83223894593 rad
∠ B' = β' = 149° = 0.54110520681 rad
∠ C' = γ' = 78.69224029317° = 78°41'33″ = 1.76881511261 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 = 5.6   b = 3.9   c = 2.17550056292

Area: T = 3.13765899941
Perimeter: p = 11.67550056292
Semiperimeter: s = 5.83875028146

Angle ∠ A = α = 132.3087597068° = 132°18'27″ = 2.30992031942 rad
Angle ∠ B = β = 31° = 0.54110520681 rad
Angle ∠ C = γ = 16.69224029317° = 16°41'33″ = 0.29113373912 rad

Height: ha = 1.12202107122
Height: hb = 1.60985076893
Height: hc = 2.88442132195

Median: ma = 1.4659563203
Median: mb = 3.7743966712
Median: mc = 4.70113123304

Inradius: r = 0.53773170847
Circumradius: R = 3.78661278515

Vertex coordinates: A[2.17550056292; 0] B[0; 0] C[4.88001368839; 2.88442132195]
Centroid: CG[2.32550475044; 0.96114044065]
Coordinates of the circumscribed circle: U[1.08875028146; 3.62765826526]
Coordinates of the inscribed circle: I[1.93875028146; 0.53773170847]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 47.69224029317° = 47°41'33″ = 2.30992031942 rad
∠ B' = β' = 149° = 0.54110520681 rad
∠ C' = γ' = 163.3087597068° = 163°18'27″ = 0.29113373912 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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