# Triangle calculator SSS - result

Please enter the triangle sides:

### Acute scalene triangle.

Sides: a = 10   b = 12   c = 15

Area: T = 59.81216836412
Perimeter: p = 37
Semiperimeter: s = 18.5

Angle ∠ A = α = 41.65496722739° = 41°38'59″ = 0.72769239136 rad
Angle ∠ B = β = 52.89109950542° = 52°53'28″ = 0.92331220084 rad
Angle ∠ C = γ = 85.45993326719° = 85°27'34″ = 1.49215467317 rad

Height: ha = 11.96223367282
Height: hb = 9.96986139402
Height: hc = 7.97548911522

Median: ma = 12.62993309403
Median: mb = 11.24772218792
Median: mc = 8.10986373701

Inradius: r = 3.23330639806
Circumradius: R = 7.52436136588

Vertex coordinates: A[15; 0] B[0; 0] C[6.03333333333; 7.97548911522]
Centroid: CG[7.01111111111; 2.65882970507]
Coordinates of the circumscribed circle: U[7.5; 0.59656194147]
Coordinates of the inscribed circle: I[6.5; 3.23330639806]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.3550327726° = 138°21'1″ = 0.72769239136 rad
∠ B' = β' = 127.1099004946° = 127°6'32″ = 0.92331220084 rad
∠ C' = γ' = 94.54106673281° = 94°32'26″ = 1.49215467317 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 ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.