# Triangle calculator SAS

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

### Acute isosceles triangle.

Sides: a = 185   b = 185   c = 126.547745303

Area: T = 10999.70329708
Perimeter: p = 496.547745303
Semiperimeter: s = 248.2743726515

Angle ∠ A = α = 70° = 1.22217304764 rad
Angle ∠ B = β = 70° = 1.22217304764 rad
Angle ∠ C = γ = 40° = 0.69881317008 rad

Height: ha = 118.9165707792
Height: hb = 118.9165707792
Height: hc = 173.8433134845

Median: ma = 128.6998791503
Median: mb = 128.6998791503
Median: mc = 173.8433134845

Inradius: r = 44.30547402766
Circumradius: R = 98.4366443954

Vertex coordinates: A[126.547745303; 0] B[0; 0] C[63.27437265152; 173.8433134845]
Centroid: CG[63.27437265152; 57.94877116151]
Coordinates of the circumscribed circle: U[63.27437265152; 75.40766908914]
Coordinates of the inscribed circle: I[63.27437265152; 44.30547402766]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 110° = 1.22217304764 rad
∠ B' = β' = 110° = 1.22217304764 rad
∠ C' = γ' = 140° = 0.69881317008 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    