Isosceles triangle calculator (S)

Please enter two properties of the isosceles triangle

Use symbols: a, b, h, T, p, A, B, C, r, R

You have entered area S and perimeter p.

Obtuse isosceles triangle.

Sides: a = 6.4055053919   b = 6.4055053919   c = 12.19898921621

Area: T = 12
Perimeter: p = 25
Semiperimeter: s = 12.5

Angle ∠ A = α = 17.90219610843° = 17°54'7″ = 0.31224481635 rad
Angle ∠ B = β = 17.90219610843° = 17°54'7″ = 0.31224481635 rad
Angle ∠ C = γ = 144.1966077831° = 144°11'46″ = 2.51766963266 rad

Height: ha = 3.7477041056
Height: hb = 3.7477041056
Height: hc = 1.96988443245

Median: ma = 9.19552658682
Median: mb = 9.19552658682
Median: mc = 1.96988443245

Vertex coordinates: A[12.19898921621; 0] B[0; 0] C[6.0954946081; 1.96988443245]
Centroid: CG[6.0954946081; 0.65662814415]
Coordinates of the circumscribed circle: U[6.0954946081; -8.45496319343]
Coordinates of the inscribed circle: I[6.0954946081; 0.96]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.0988038916° = 162°5'53″ = 0.31224481635 rad
∠ B' = β' = 162.0988038916° = 162°5'53″ = 0.31224481635 rad
∠ C' = γ' = 35.80439221686° = 35°48'14″ = 2.51766963266 rad

How did we calculate this triangle?

Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. 1. The triangle circumference is the sum of the lengths of its three sides 2. Semiperimeter of the triangle 3. The triangle area using Heron's formula 4. Calculate the heights of the triangle from its area. 5. Calculation of the inner angles of the triangle using a Law of Cosines    