# Triangle calculator - result

Please enter what you know about the triangle:
You have entered side b, c and angle α.

### Obtuse scalene triangle.

Sides: a = 23.58108907352   b = 30   c = 14

Area: T = 160.8699333055
Perimeter: p = 67.58108907352
Semiperimeter: s = 33.79904453676

Angle ∠ A = α = 50° = 0.8732664626 rad
Angle ∠ B = β = 102.9487843086° = 102°56'52″ = 1.79767788197 rad
Angle ∠ C = γ = 27.05221569141° = 27°3'8″ = 0.47221492079 rad

Height: ha = 13.6444042107
Height: hb = 10.72546222037
Height: hc = 22.98113332936

Median: ma = 20.22333874026
Median: mb = 12.28993939611
Median: mc = 26.05881888076

Inradius: r = 4.76107935115
Circumradius: R = 15.39113333273

Vertex coordinates: A[14; 0] B[0; 0] C[-5.28436282906; 22.98113332936]
Centroid: CG[2.90554572365; 7.66604444312]
Coordinates of the circumscribed circle: U[7; 13.70774119217]
Coordinates of the inscribed circle: I[3.79904453676; 4.76107935115]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130° = 0.8732664626 rad
∠ B' = β' = 77.05221569141° = 77°3'8″ = 1.79767788197 rad
∠ C' = γ' = 152.9487843086° = 152°56'52″ = 0.47221492079 rad

# How did we calculate this triangle?

### 1. Input data entered: side b, c and angle α. ### 2. Calculation of the third side a of the triangle using a Law of Cosines 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. ### 3. The triangle circumference is the sum of the lengths of its three sides ### 4. Semiperimeter of the triangle ### 5. The triangle area using Heron's formula ### 6. Calculate the heights of the triangle from its area. ### 7. Calculation of the inner angles of the triangle using a Law of Cosines ### 8. Inradius ### 9. Circumradius ### 10. 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.