Triangle calculator SSS - result

Please enter the triangle sides:

Acute scalene triangle.

Sides: a = 16   b = 29   c = 30

Area: T = 226.7122235003
Perimeter: p = 75
Semiperimeter: s = 37.5

Angle ∠ A = α = 31.41112725322° = 31°24'41″ = 0.54882301279 rad
Angle ∠ B = β = 70.84549899264° = 70°50'42″ = 1.23664783328 rad
Angle ∠ C = γ = 77.74437375414° = 77°44'37″ = 1.35768841929 rad

Height: ha = 28.33990293754
Height: hb = 15.63553265519
Height: hc = 15.11441490002

Median: ma = 28.39989436423
Median: mb = 19.17768089108
Median: mc = 17.98661057486

Inradius: r = 6.04656596001
Circumradius: R = 15.3549855291

Vertex coordinates: A[30; 0] B[0; 0] C[5.25; 15.11441490002]
Centroid: CG[11.75; 5.03880496667]
Coordinates of the circumscribed circle: U[15; 3.25985360909]
Coordinates of the inscribed circle: I[8.5; 6.04656596001]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.5898727468° = 148°35'19″ = 0.54882301279 rad
∠ B' = β' = 109.1555010074° = 109°9'18″ = 1.23664783328 rad
∠ C' = γ' = 102.2566262459° = 102°15'23″ = 1.35768841929 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     