# Triangle calculator SAS

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

### Right scalene triangle.

Sides: a = 7.794   b = 4.5   c = 98.9998019978

Area: T = 17.53765
Perimeter: p = 21.29438019978
Semiperimeter: s = 10.64769009989

Angle ∠ A = α = 59.99992722192° = 59°59'57″ = 1.0477184849 rad
Angle ∠ B = β = 30.00107277808° = 30°3″ = 0.52436114778 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 4.5
Height: hb = 7.794
Height: hc = 3.89770857368

Median: ma = 5.95328656125
Median: mb = 8.11222707055
Median: mc = 4.54999009989

Inradius: r = 1.64770990011
Circumradius: R = 4.54999009989

Vertex coordinates: A[98.9998019978; 0] B[0; 0] C[6.75497524962; 3.89770857368]
Centroid: CG[5.2549851498; 1.29990285789]
Coordinates of the circumscribed circle: U[4.54999009989; 0]
Coordinates of the inscribed circle: I[6.14769009989; 1.64770990011]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 120.0010727781° = 120°3″ = 1.0477184849 rad
∠ B' = β' = 149.9999272219° = 149°59'57″ = 0.52436114778 rad
∠ C' = γ' = 90° = 1.57107963268 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    