# Triangle calculator SAS

Please enter two sides of the triangle and the included angle
°

### Acute scalene triangle.

Sides: a = 64.68875   b = 64.875   c = 25.27770588054

Area: T = 802.9854945103
Perimeter: p = 154.8439558805
Semiperimeter: s = 77.42197794027

Angle ∠ A = α = 78.3333154482° = 78°19'59″ = 1.36771714592 rad
Angle ∠ B = β = 79.1676845518° = 79°10'1″ = 1.38217221127 rad
Angle ∠ C = γ = 22.5° = 22°30' = 0.39326990817 rad

Height: ha = 24.82765876747
Height: hb = 24.75548345311
Height: hc = 63.53546818856

Median: ma = 37.11877787504
Median: mb = 36.87215306544
Median: mc = 63.53664990786

Vertex coordinates: A[25.27770588054; 0] B[0; 0] C[12.1587995474; 63.53546818856]
Centroid: CG[12.47883514265; 21.17882272952]
Coordinates of the circumscribed circle: U[12.63985294027; 30.51221090925]
Coordinates of the inscribed circle: I[12.54547794027; 10.37218319956]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 101.6676845518° = 101°40'1″ = 1.36771714592 rad
∠ B' = β' = 100.8333154482° = 100°49'59″ = 1.38217221127 rad
∠ C' = γ' = 157.5° = 157°30' = 0.39326990817 rad

# How did we calculate this triangle?

### 1. Calculation of the third side c of the triangle using a 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    