# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=25.31333134204 and with side c=5.37326668548

### #1 Acute scalene triangle.

Sides: a = 35   b = 33   c = 25.31333134204

Area: T = 398.1550469401
Perimeter: p = 93.31333134204
Semiperimeter: s = 46.65766567102

Angle ∠ A = α = 72.41443585092° = 72°24'52″ = 1.26438689817 rad
Angle ∠ B = β = 64° = 1.11770107213 rad
Angle ∠ C = γ = 43.58656414908° = 43°35'8″ = 0.76107129506 rad

Height: ha = 22.75114553944
Height: hb = 24.13303314789
Height: hc = 31.45877916205

Median: ma = 23.63553954517
Median: mb = 25.70327609054
Median: mc = 31.57222827955

Inradius: r = 8.53436262277
Circumradius: R = 18.35879320178

Vertex coordinates: A[25.31333134204; 0] B[0; 0] C[15.34329901376; 31.45877916205]
Centroid: CG[13.5522101186; 10.48659305402]
Coordinates of the circumscribed circle: U[12.65766567102; 13.29774700185]
Coordinates of the inscribed circle: I[13.65766567102; 8.53436262277]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 107.5865641491° = 107°35'8″ = 1.26438689817 rad
∠ B' = β' = 116° = 1.11770107213 rad
∠ C' = γ' = 136.4144358509° = 136°24'52″ = 0.76107129506 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 = 5.37326668548

Area: T = 84.50661171829
Perimeter: p = 73.37326668548
Semiperimeter: s = 36.68663334274

Angle ∠ A = α = 107.5865641491° = 107°35'8″ = 1.87877236719 rad
Angle ∠ B = β = 64° = 1.11770107213 rad
Angle ∠ C = γ = 8.41443585092° = 8°24'52″ = 0.14768582604 rad

Height: ha = 4.82989209819
Height: hb = 5.12215828596
Height: hc = 31.45877916205

Median: ma = 15.89659986967
Median: mb = 18.8333023511
Median: mc = 33.90884593091

Inradius: r = 2.30334767797
Circumradius: R = 18.35879320178

Vertex coordinates: A[5.37326668548; 0] B[0; 0] C[15.34329901376; 31.45877916205]
Centroid: CG[6.90552189975; 10.48659305402]
Coordinates of the circumscribed circle: U[2.68663334274; 18.1660321602]
Coordinates of the inscribed circle: I[3.68663334274; 2.30334767797]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 72.41443585092° = 72°24'52″ = 1.87877236719 rad
∠ B' = β' = 116° = 1.11770107213 rad
∠ C' = γ' = 171.5865641491° = 171°35'8″ = 0.14768582604 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    