# Triangle calculator

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

### Obtuse scalene triangle.

Sides: a = 187.0343518004   b = 21.28795032022   c = 200

Area: T = 1630.105451804
Perimeter: p = 408.3133021207
Semiperimeter: s = 204.1576510603

Angle ∠ A = α = 50° = 0.8732664626 rad
Angle ∠ B = β = 5° = 0.08772664626 rad
Angle ∠ C = γ = 125° = 2.1821661565 rad

Height: ha = 17.43111485495
Height: hb = 153.2098888624
Height: hc = 16.30110451804

Median: ma = 107.1549542295
Median: mb = 193.3332780755
Median: mc = 87.84774647147

Inradius: r = 7.98545825794
Circumradius: R = 122.0777458876

Vertex coordinates: A[200; 0] B[0; 0] C[186.3221799001; 16.30110451804]
Centroid: CG[128.7743933; 5.43436817268]
Coordinates of the circumscribed circle: U[100; -70.0210753821]
Coordinates of the inscribed circle: I[182.8777007401; 7.98545825794]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130° = 0.8732664626 rad
∠ B' = β' = 175° = 0.08772664626 rad
∠ C' = γ' = 55° = 2.1821661565 rad

# How did we calculate this triangle?

### 1. Input data entered: side c, angle β and angle γ. ### 2. From angle β, angle γ and side c we calculate side b - By using the law of sines, we calculate unknown side b: ### 3. 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. ### 4. The triangle circumference is the sum of the lengths of its three sides ### 5. Semiperimeter of the triangle ### 6. The triangle area using Heron's formula ### 7. Calculate the heights of the triangle from its area. ### 8. Calculation of the inner angles of the triangle using a Law of Cosines ### 9. Inradius ### 10. Circumradius ### 11. 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.