# Isosceles triangle calculator (b)

Please enter two properties of the isosceles triangle

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

You have entered side b and perimeter p.

### Obtuse isosceles triangle.

Sides: a = 8.6   b = 8.6   c = 15.3

Area: T = 30.0577296847
Perimeter: p = 32.5
Semiperimeter: s = 16.25

Angle ∠ A = α = 27.18551413434° = 27°11'7″ = 0.47444702241 rad
Angle ∠ B = β = 27.18551413434° = 27°11'7″ = 0.47444702241 rad
Angle ∠ C = γ = 125.6329717313° = 125°37'47″ = 2.19326522055 rad

Height: ha = 6.99900690342
Height: hb = 6.99900690342
Height: hc = 3.92990584114

Median: ma = 11.64219500085
Median: mb = 11.64219500085
Median: mc = 3.92990584114

Vertex coordinates: A[15.3; 0] B[0; 0] C[7.65; 3.92990584114]
Centroid: CG[7.65; 1.31096861371]
Coordinates of the circumscribed circle: U[7.65; -5.48328658026]
Coordinates of the inscribed circle: I[7.65; 1.8549679806]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.8154858657° = 152°48'53″ = 0.47444702241 rad
∠ B' = β' = 152.8154858657° = 152°48'53″ = 0.47444702241 rad
∠ C' = γ' = 54.37702826868° = 54°22'13″ = 2.19326522055 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.