Triangle calculator SSS - result

Please enter the triangle sides:

Acute isosceles triangle.

Sides: a = 21   b = 21   c = 22

Area: T = 196.774398202
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 58.41218644948° = 58°24'43″ = 1.01994793577 rad
Angle ∠ B = β = 58.41218644948° = 58°24'43″ = 1.01994793577 rad
Angle ∠ C = γ = 63.17662710104° = 63°10'35″ = 1.10326339383 rad

Height: ha = 18.744037924
Height: hb = 18.744037924
Height: hc = 17.889854382

Median: ma = 18.76883243791
Median: mb = 18.76883243791
Median: mc = 17.889854382

Inradius: r = 6.14991869381
Circumradius: R = 12.3266324726

Vertex coordinates: A[22; 0] B[0; 0] C[11; 17.889854382]
Centroid: CG[11; 5.963284794]
Coordinates of the circumscribed circle: U[11; 5.5622219094]
Coordinates of the inscribed circle: I[11; 6.14991869381]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 121.5888135505° = 121°35'17″ = 1.01994793577 rad
∠ B' = β' = 121.5888135505° = 121°35'17″ = 1.01994793577 rad
∠ C' = γ' = 116.824372899° = 116°49'25″ = 1.10326339383 rad

How did we calculate this triangle?

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     