Triangle calculator SSS - result

Please enter the triangle sides:

Acute isosceles triangle.

Sides: a = 13   b = 17   c = 17

Area: T = 102.1043807471
Perimeter: p = 47
Semiperimeter: s = 23.5

Angle ∠ A = α = 44.95990112188° = 44°57'32″ = 0.78546827742 rad
Angle ∠ B = β = 67.52204943906° = 67°31'14″ = 1.17884549397 rad
Angle ∠ C = γ = 67.52204943906° = 67°31'14″ = 1.17884549397 rad

Height: ha = 15.70882780724
Height: hb = 12.01222126436
Height: hc = 12.01222126436

Median: ma = 15.70882780724
Median: mb = 12.52199840255
Median: mc = 12.52199840255

Inradius: r = 4.34548428711
Circumradius: R = 9.19989713534

Vertex coordinates: A[17; 0] B[0; 0] C[4.97105882353; 12.01222126436]
Centroid: CG[7.32435294118; 4.00440708812]
Coordinates of the circumscribed circle: U[8.5; 3.51772537528]
Coordinates of the inscribed circle: I[6.5; 4.34548428711]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.0410988781° = 135°2'28″ = 0.78546827742 rad
∠ B' = β' = 112.4879505609° = 112°28'46″ = 1.17884549397 rad
∠ C' = γ' = 112.4879505609° = 112°28'46″ = 1.17884549397 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     