Isosceles triangle calculator (a,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 a and b.

Acute isosceles triangle.

Sides: a = 142   b = 142   c = 190

Area: T = 10026.43987995
Perimeter: p = 474
Semiperimeter: s = 237

Angle ∠ A = α = 48.00989830931° = 48°32″ = 0.83879148255 rad
Angle ∠ B = β = 48.00989830931° = 48°32″ = 0.83879148255 rad
Angle ∠ C = γ = 83.98220338138° = 83°58'55″ = 1.46657630026 rad

Height: ha = 141.217744788
Height: hb = 141.217744788
Height: hc = 105.5411461047

Median: ma = 151.9577230825
Median: mb = 151.9577230825
Median: mc = 105.5411461047

Vertex coordinates: A[190; 0] B[0; 0] C[95; 105.5411461047]
Centroid: CG[95; 35.18804870158]
Coordinates of the circumscribed circle: U[95; 10.01550214855]
Coordinates of the inscribed circle: I[95; 42.3065648943]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.9911016907° = 131°59'28″ = 0.83879148255 rad
∠ B' = β' = 131.9911016907° = 131°59'28″ = 0.83879148255 rad
∠ C' = γ' = 96.01879661862° = 96°1'5″ = 1.46657630026 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    