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?

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. 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     