Triangle calculator

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

Acute isosceles triangle.

Sides: a = 36.4   b = 36.4   c = 45.8

Area: T = 647.932242356
Perimeter: p = 118.6
Semiperimeter: s = 59.3

Angle ∠ A = α = 51.01547076665° = 51°53″ = 0.89903746157 rad
Angle ∠ B = β = 51.01547076665° = 51°53″ = 0.89903746157 rad
Angle ∠ C = γ = 77.97105846669° = 77°58'14″ = 1.36108434221 rad

Height: ha = 35.60106826132
Height: hb = 35.60106826132
Height: hc = 28.29439922952

Median: ma = 37.14991588061
Median: mb = 37.14991588061
Median: mc = 28.29439922952

Inradius: r = 10.92663477835
Circumradius: R = 23.41441577862

Vertex coordinates: A[45.8; 0] B[0; 0] C[22.9; 28.29439922952]
Centroid: CG[22.9; 9.43113307651]
Coordinates of the circumscribed circle: U[22.9; 4.8879834509]
Coordinates of the inscribed circle: I[22.9; 10.92663477835]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 128.9855292333° = 128°59'7″ = 0.89903746157 rad
∠ B' = β' = 128.9855292333° = 128°59'7″ = 0.89903746157 rad
∠ C' = γ' = 102.0299415333° = 102°1'46″ = 1.36108434221 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     