Triangle calculator SSS - result

Please enter the triangle sides:

Acute scalene triangle.

Sides: a = 60   b = 45   c = 69.15

Area: T = 1333.437735928
Perimeter: p = 174.15
Semiperimeter: s = 87.075

Angle ∠ A = α = 58.98551443667° = 58°59'7″ = 1.0299484979 rad
Angle ∠ B = β = 39.99990792909° = 39°59'57″ = 0.69881156314 rad
Angle ∠ C = γ = 81.01657763424° = 81°57″ = 1.41439920432 rad

Height: ha = 44.4487911976
Height: hb = 59.26438826347
Height: hc = 38.56765179835

Median: ma = 50.03436012096
Median: mb = 60.70109987562
Median: mc = 40.21328011335

Inradius: r = 15.31436647635
Circumradius: R = 35.00444564712

Vertex coordinates: A[69.15; 0] B[0; 0] C[45.96332863341; 38.56765179835]
Centroid: CG[38.37110954447; 12.85655059945]
Coordinates of the circumscribed circle: U[34.575; 5.46663834337]
Coordinates of the inscribed circle: I[42.075; 15.31436647635]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 121.0154855633° = 121°53″ = 1.0299484979 rad
∠ B' = β' = 140.0010920709° = 140°3″ = 0.69881156314 rad
∠ C' = γ' = 98.98442236576° = 98°59'3″ = 1.41439920432 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     