# Triangle calculator SAS

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

### Right isosceles triangle.

Sides: a = 500   b = 500   c = 707.1076781187

Area: T = 125000
Perimeter: p = 1707.107678119
Semiperimeter: s = 853.5533390593

Angle ∠ A = α = 45° = 0.78553981634 rad
Angle ∠ B = β = 45° = 0.78553981634 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 500
Height: hb = 500
Height: hc = 353.5533390593

Median: ma = 559.0176994375
Median: mb = 559.0176994375
Median: mc = 353.5533390593

Vertex coordinates: A[707.1076781187; 0] B[0; 0] C[353.5533390593; 353.5533390593]
Centroid: CG[353.5533390593; 117.8511130198]
Coordinates of the circumscribed circle: U[353.5533390593; 0]
Coordinates of the inscribed circle: I[353.5533390593; 146.4476609407]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135° = 0.78553981634 rad
∠ B' = β' = 135° = 0.78553981634 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    