# Triangle calculator SAS

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

### Right isosceles triangle.

Sides: a = 50   b = 50   c = 70.71106781187

Area: T = 1250
Perimeter: p = 170.7110678119
Semiperimeter: s = 85.35553390593

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

Height: ha = 50
Height: hb = 50
Height: hc = 35.35553390593

Median: ma = 55.90216994375
Median: mb = 55.90216994375
Median: mc = 35.35553390593

Inradius: r = 14.64546609407
Circumradius: R = 35.35553390593

Vertex coordinates: A[70.71106781187; 0] B[0; 0] C[35.35553390593; 35.35553390593]
Centroid: CG[35.35553390593; 11.78551130198]
Coordinates of the circumscribed circle: U[35.35553390593; 0]
Coordinates of the inscribed circle: I[35.35553390593; 14.64546609407]

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    