# Triangle calculator SSS - result

Please enter the triangle sides:

### Acute isosceles triangle.

Sides: a = 55.17   b = 55.17   c = 46.63

Area: T = 1165.783256477
Perimeter: p = 156.97
Semiperimeter: s = 78.485

Angle ∠ A = α = 65.00109734322° = 65°3″ = 1.13444810034 rad
Angle ∠ B = β = 65.00109734322° = 65°3″ = 1.13444810034 rad
Angle ∠ C = γ = 49.99880531355° = 49°59'53″ = 0.87326306468 rad

Height: ha = 42.26114669121
Height: hb = 42.26114669121
Height: hc = 50.00113967305

Median: ma = 42.99896577679
Median: mb = 42.99896577679
Median: mc = 50.00113967305

Inradius: r = 14.85435715713
Circumradius: R = 30.436643877

Vertex coordinates: A[46.63; 0] B[0; 0] C[23.315; 50.00113967305]
Centroid: CG[23.315; 16.66771322435]
Coordinates of the circumscribed circle: U[23.315; 19.56549579605]
Coordinates of the inscribed circle: I[23.315; 14.85435715713]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 114.9999026568° = 114°59'57″ = 1.13444810034 rad
∠ B' = β' = 114.9999026568° = 114°59'57″ = 1.13444810034 rad
∠ C' = γ' = 130.0021946864° = 130°7″ = 0.87326306468 rad

# How did we calculate this triangle?

### 1. The triangle circumference is the sum of the lengths of its three sides ### 2. Semiperimeter of the triangle ### 3. The triangle area using Heron's formula ### 4. Calculate the heights of the triangle from its area. ### 5. Calculation of the inner angles of the triangle using a Law of Cosines    