# Triangle calculator

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

### Right scalene triangle.

Sides: a = 43.01325950546   b = 37.25   c = 21.50662975273

Area: T = 400.5554791446
Perimeter: p = 101.7698892582
Semiperimeter: s = 50.8844446291

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 60° = 1.04771975512 rad
Angle ∠ C = γ = 30° = 0.52435987756 rad

Height: ha = 18.625
Height: hb = 21.50662975273
Height: hc = 37.25

Median: ma = 21.50662975273
Median: mb = 28.45501574395
Median: mc = 38.77110292401

Inradius: r = 7.87218512363
Circumradius: R = 21.50662975273

Vertex coordinates: A[21.50662975273; 0] B[0; 0] C[21.50662975273; 37.25]
Centroid: CG[14.33875316849; 12.41766666667]
Coordinates of the circumscribed circle: U[10.75331487637; 18.625]
Coordinates of the inscribed circle: I[13.6344446291; 7.87218512363]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 120° = 1.04771975512 rad
∠ C' = γ' = 150° = 0.52435987756 rad

# How did we calculate this triangle?

### 1. Input data entered: side b, angle α and angle β. ### 2. From angle α and angle β we calculate angle γ: ### 3. From angle α, angle β and side b we calculate side a - By using the law of sines, we calculate unknown side a: ### 4. Calculation of the third side c 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. ### 5. The triangle circumference is the sum of the lengths of its three sides ### 6. Semiperimeter of the triangle ### 7. The triangle area using Heron's formula ### 8. Calculate the heights of the triangle from its area. ### 9. Calculation of the inner angles of the triangle using a Law of Cosines ### 10. Inradius ### 11. Circumradius ### 12. 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.