# Triangle calculator SAS

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

### Right isosceles triangle.

Sides: a = 120   b = 120   c = 169.7065627485

Area: T = 7200
Perimeter: p = 409.7065627485
Semiperimeter: s = 204.8532813742

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

Height: ha = 120
Height: hb = 120
Height: hc = 84.85328137424

Median: ma = 134.164407865
Median: mb = 134.164407865
Median: mc = 84.85328137424

Inradius: r = 35.14771862576
Circumradius: R = 84.85328137424

Vertex coordinates: A[169.7065627485; 0] B[0; 0] C[84.85328137424; 84.85328137424]
Centroid: CG[84.85328137424; 28.28442712475]
Coordinates of the circumscribed circle: U[84.85328137424; -0]
Coordinates of the inscribed circle: I[84.85328137424; 35.14771862576]

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    