Triangle calculator

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

Acute scalene triangle.

Sides: a = 33   b = 51   c = 42

Area: T = 690.1330422457
Perimeter: p = 126
Semiperimeter: s = 63

Angle ∠ A = α = 40.11991668984° = 40°7'9″ = 0.77002115555 rad
Angle ∠ B = β = 84.78440914295° = 84°47'3″ = 1.48797615488 rad
Angle ∠ C = γ = 55.0976741672° = 55°5'48″ = 0.96216195493 rad

Height: ha = 41.82660862095
Height: hb = 27.06439381355
Height: hc = 32.86333534503

Median: ma = 43.7066406853
Median: mb = 27.86112634315
Median: mc = 37.47699879904

Inradius: r = 10.95444511501
Circumradius: R = 25.60660295634

Vertex coordinates: A[42; 0] B[0; 0] C[3; 32.86333534503]
Centroid: CG[15; 10.95444511501]
Coordinates of the circumscribed circle: U[21; 14.65215784133]
Coordinates of the inscribed circle: I[12; 10.95444511501]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.8810833102° = 139°52'51″ = 0.77002115555 rad
∠ B' = β' = 95.21659085705° = 95°12'57″ = 1.48797615488 rad
∠ C' = γ' = 124.9033258328° = 124°54'12″ = 0.96216195493 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     