# Triangle calculator

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

### Obtuse scalene triangle.

Sides: a = 36   b = 52.5   c = 76

Area: T = 841.0221920698
Perimeter: p = 164.5
Semiperimeter: s = 82.25

Angle ∠ A = α = 24.93334239167° = 24°56' = 0.43551703411 rad
Angle ∠ B = β = 37.93660894134° = 37°56'10″ = 0.66221096656 rad
Angle ∠ C = γ = 117.133048667° = 117°7'50″ = 2.04443126469 rad

Height: ha = 46.72334400388
Height: hb = 32.03989303123
Height: hc = 22.13221558078

Median: ma = 62.78663440566
Median: mb = 53.35767006101
Median: mc = 24.12772667329

Inradius: r = 10.22551905252
Circumradius: R = 42.69880547311

Vertex coordinates: A[76; 0] B[0; 0] C[28.39330921053; 22.13221558078]
Centroid: CG[34.79876973684; 7.37773852693]
Coordinates of the circumscribed circle: U[38; -19.47111036621]
Coordinates of the inscribed circle: I[29.75; 10.22551905252]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.0676576083° = 155°4' = 0.43551703411 rad
∠ B' = β' = 142.0643910587° = 142°3'50″ = 0.66221096656 rad
∠ C' = γ' = 62.87695133301° = 62°52'10″ = 2.04443126469 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    