# Triangle calculator SAS

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

### Right isosceles triangle.

Sides: a = 45   b = 45   c = 63.64396103068

Area: T = 1012.5
Perimeter: p = 153.6439610307
Semiperimeter: s = 76.82198051534

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

Height: ha = 45
Height: hb = 45
Height: hc = 31.82198051534

Median: ma = 50.31215294937
Median: mb = 50.31215294937
Median: mc = 31.82198051534

Inradius: r = 13.18801948466
Circumradius: R = 31.82198051534

Vertex coordinates: A[63.64396103068; 0] B[0; 0] C[31.82198051534; 31.82198051534]
Centroid: CG[31.82198051534; 10.60766017178]
Coordinates of the circumscribed circle: U[31.82198051534; 0]
Coordinates of the inscribed circle: I[31.82198051534; 13.18801948466]

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    