# Triangle calculator

Please enter what you know about the triangle:
You have entered side a, b and c.

### Acute isosceles triangle.

Sides: a = 624.3   b = 624.3   c = 318

Area: T = 95990.38106467
Perimeter: p = 1566.6
Semiperimeter: s = 783.3

Angle ∠ A = α = 75.2455064608° = 75°14'42″ = 1.31332741233 rad
Angle ∠ B = β = 75.2455064608° = 75°14'42″ = 1.31332741233 rad
Angle ∠ C = γ = 29.51098707841° = 29°30'36″ = 0.5155044407 rad

Height: ha = 307.5143633339
Height: hb = 307.5143633339
Height: hc = 603.7133085828

Median: ma = 384.7077190601
Median: mb = 384.7077190601
Median: mc = 603.7133085828

Inradius: r = 122.5466126193
Circumradius: R = 322.7944469053

Vertex coordinates: A[318; 0] B[0; 0] C[159; 603.7133085828]
Centroid: CG[159; 201.2387695276]
Coordinates of the circumscribed circle: U[159; 280.9198616775]
Coordinates of the inscribed circle: I[159; 122.5466126193]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 104.7554935392° = 104°45'18″ = 1.31332741233 rad
∠ B' = β' = 104.7554935392° = 104°45'18″ = 1.31332741233 rad
∠ C' = γ' = 150.4990129216° = 150°29'24″ = 0.5155044407 rad

# How did we calculate this triangle?

### 1. Input data entered: side a, b and c. ### 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    