Triangle calculator

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

Acute isosceles triangle.

Sides: a = 443   b = 443   c = 610

Area: T = 97991.90106857
Perimeter: p = 1496
Semiperimeter: s = 748

Angle ∠ A = α = 46.4899492991° = 46°29'22″ = 0.81113947203 rad
Angle ∠ B = β = 46.4899492991° = 46°29'22″ = 0.81113947203 rad
Angle ∠ C = γ = 87.0211014018° = 87°1'16″ = 1.5198803213 rad

Height: ha = 442.4011357498
Height: hb = 442.4011357498
Height: hc = 321.2854920281

Median: ma = 484.8843748954
Median: mb = 484.8843748954
Median: mc = 321.2854920281

Inradius: r = 131.005521482
Circumradius: R = 305.4132715649

Vertex coordinates: A[610; 0] B[0; 0] C[305; 321.2854920281]
Centroid: CG[305; 107.0954973427]
Coordinates of the circumscribed circle: U[305; 15.87222046324]
Coordinates of the inscribed circle: I[305; 131.005521482]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.5110507009° = 133°30'38″ = 0.81113947203 rad
∠ B' = β' = 133.5110507009° = 133°30'38″ = 0.81113947203 rad
∠ C' = γ' = 92.9798985982° = 92°58'44″ = 1.5198803213 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     