Triangle calculator

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

Acute isosceles triangle.

Sides: a = 6.312   b = 6.312   c = 7.705

Area: T = 19.262234118
Perimeter: p = 20.329
Semiperimeter: s = 10.16545

Angle ∠ A = α = 52.38655200632° = 52°23'8″ = 0.91442998055 rad
Angle ∠ B = β = 52.38655200632° = 52°23'8″ = 0.91442998055 rad
Angle ∠ C = γ = 75.22989598735° = 75°13'44″ = 1.31329930426 rad

Height: ha = 6.10334034157
Height: hb = 6.10334034157
Height: hc = 54.9999587748

Median: ma = 6.29663361171
Median: mb = 6.29663361171
Median: mc = 54.9999587748

Inradius: r = 1.89550603748
Circumradius: R = 3.98441672496

Vertex coordinates: A[7.705; 0] B[0; 0] C[3.85325; 54.9999587748]
Centroid: CG[3.85325; 1.66766529249]
Coordinates of the circumscribed circle: U[3.85325; 1.01657915252]
Coordinates of the inscribed circle: I[3.85325; 1.89550603748]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 127.6144479937° = 127°36'52″ = 0.91442998055 rad
∠ B' = β' = 127.6144479937° = 127°36'52″ = 0.91442998055 rad
∠ C' = γ' = 104.7711040126° = 104°46'16″ = 1.31329930426 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     