# 1114 1115 1576 triangle

### Acute scalene triangle.

Sides: a = 1114   b = 1115   c = 1576

Area: T = 621054.9990036
Perimeter: p = 3805
Semiperimeter: s = 1902.5

Angle ∠ A = α = 44.97994224112° = 44°58'46″ = 0.78550390167 rad
Angle ∠ B = β = 45.03108410204° = 45°1'51″ = 0.78659364407 rad
Angle ∠ C = γ = 89.99897365684° = 89°59'23″ = 1.57106171961 rad

Height: ha = 11154.99998211
Height: hb = 11143.99998213
Height: hc = 788.1410850299

Median: ma = 1246.295510951
Median: mb = 1245.624424109
Median: mc = 788.1411167558

Inradius: r = 326.4421519073
Circumradius: R = 7888.000012643

Vertex coordinates: A[1576; 0] B[0; 0] C[787.2932829949; 788.1410850299]
Centroid: CG[787.764427665; 262.7143616766]
Coordinates of the circumscribed circle: U[788; 0.14111549724]
Coordinates of the inscribed circle: I[787.5; 326.4421519073]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.0210577589° = 135°1'14″ = 0.78550390167 rad
∠ B' = β' = 134.969915898° = 134°58'9″ = 0.78659364407 rad
∠ C' = γ' = 90.01102634316° = 90°37″ = 1.57106171961 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    