# Triangle calculator

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

### Right scalene triangle.

Sides: a = 145.7899471499   b = 111.1   c = 94.4

Area: T = 5243.92
Perimeter: p = 351.2899471499
Semiperimeter: s = 175.645473575

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 49.64659439969° = 49°38'45″ = 0.8666485183 rad
Angle ∠ C = γ = 40.35440560031° = 40°21'15″ = 0.70443111438 rad

Height: ha = 71.93882537858
Height: hb = 94.4
Height: hc = 111.1

Median: ma = 72.89547357496
Median: mb = 109.5321559379
Median: mc = 120.7110604339

Inradius: r = 29.85552642504
Circumradius: R = 72.89547357496

Vertex coordinates: A[94.4; 0] B[0; 0] C[94.4; 111.1]
Centroid: CG[62.93333333333; 37.03333333333]
Coordinates of the circumscribed circle: U[47.2; 55.55]
Coordinates of the inscribed circle: I[64.54547357496; 29.85552642504]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 130.3544056003° = 130°21'15″ = 0.8666485183 rad
∠ C' = γ' = 139.6465943997° = 139°38'45″ = 0.70443111438 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.