# Triangle calculator SAS

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

### Right isosceles triangle.

Sides: a = 40   b = 40   c = 56.56985424949

Area: T = 800
Perimeter: p = 136.5698542495
Semiperimeter: s = 68.28442712475

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

Height: ha = 40
Height: hb = 40
Height: hc = 28.28442712475

Median: ma = 44.721135955
Median: mb = 44.721135955
Median: mc = 28.28442712475

Inradius: r = 11.71657287525
Circumradius: R = 28.28442712475

Vertex coordinates: A[56.56985424949; 0] B[0; 0] C[28.28442712475; 28.28442712475]
Centroid: CG[28.28442712475; 9.42880904158]
Coordinates of the circumscribed circle: U[28.28442712475; -0]
Coordinates of the inscribed circle: I[28.28442712475; 11.71657287525]

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    