Triangle calculator

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

Acute scalene triangle.

Sides: a = 45   b = 60   c = 50

Area: T = 1100.97661294
Perimeter: p = 155
Semiperimeter: s = 77.5

Angle ∠ A = α = 47.22114422911° = 47°13'17″ = 0.82441696455 rad
Angle ∠ B = β = 78.13879773311° = 78°8'17″ = 1.36437649753 rad
Angle ∠ C = γ = 54.64105803778° = 54°38'26″ = 0.95436580328 rad

Height: ha = 48.93222724176
Height: hb = 36.69992043132
Height: hc = 44.03990451758

Median: ma = 50.43656025046
Median: mb = 36.91220576506
Median: mc = 46.77107173347

Inradius: r = 14.20661436051
Circumradius: R = 30.65546155715

Vertex coordinates: A[50; 0] B[0; 0] C[9.25; 44.03990451758]
Centroid: CG[19.75; 14.68796817253]
Coordinates of the circumscribed circle: U[25; 17.74399395668]
Coordinates of the inscribed circle: I[17.5; 14.20661436051]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132.7798557709° = 132°46'43″ = 0.82441696455 rad
∠ B' = β' = 101.8622022669° = 101°51'43″ = 1.36437649753 rad
∠ C' = γ' = 125.3599419622° = 125°21'34″ = 0.95436580328 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     