# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=34.14112854877 and with side c=3.98334469633

### #1 Acute scalene triangle.

Sides: a = 35   b = 33   c = 34.14112854877

Area: T = 501.0832597582
Perimeter: p = 102.1411285488
Semiperimeter: s = 51.07106427439

Angle ∠ A = α = 62.81103697547° = 62°48'37″ = 1.09662477566 rad
Angle ∠ B = β = 57° = 0.99548376736 rad
Angle ∠ C = γ = 60.19896302453° = 60°11'23″ = 1.05105072233 rad

Height: ha = 28.63332912904
Height: hb = 30.36986422777
Height: hc = 29.35334698781

Median: ma = 28.65442088946
Median: mb = 30.38219631916
Median: mc = 29.42109645714

Inradius: r = 9.81215584739
Circumradius: R = 19.67439943318

Vertex coordinates: A[34.14112854877; 0] B[0; 0] C[19.06223662255; 29.35334698781]
Centroid: CG[17.73545505711; 9.78444899594]
Coordinates of the circumscribed circle: U[17.07106427439; 9.7810552606]
Coordinates of the inscribed circle: I[18.07106427439; 9.81215584739]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 117.1989630245° = 117°11'23″ = 1.09662477566 rad
∠ B' = β' = 123° = 0.99548376736 rad
∠ C' = γ' = 119.8110369755° = 119°48'37″ = 1.05105072233 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 = 35   b = 33   c = 3.98334469633

Area: T = 58.46439952244
Perimeter: p = 71.98334469633
Semiperimeter: s = 35.99217234817

Angle ∠ A = α = 117.1989630245° = 117°11'23″ = 2.0455344897 rad
Angle ∠ B = β = 57° = 0.99548376736 rad
Angle ∠ C = γ = 5.81103697547° = 5°48'37″ = 0.1011410083 rad

Height: ha = 3.34107997271
Height: hb = 3.54332724378
Height: hc = 29.35334698781

Median: ma = 15.6990249356
Median: mb = 18.66596871585
Median: mc = 33.95663401675

Inradius: r = 1.62443733161
Circumradius: R = 19.67439943318

Vertex coordinates: A[3.98334469633; 0] B[0; 0] C[19.06223662255; 29.35334698781]
Centroid: CG[7.68219377296; 9.78444899594]
Coordinates of the circumscribed circle: U[1.99217234817; 19.57329172721]
Coordinates of the inscribed circle: I[2.99217234817; 1.62443733161]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 62.81103697547° = 62°48'37″ = 2.0455344897 rad
∠ B' = β' = 123° = 0.99548376736 rad
∠ C' = γ' = 174.1989630245° = 174°11'23″ = 0.1011410083 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    