# 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 = 10.35504700351   b = 11.33   c = 4.6088326166

Area: T = 23.84991709468
Perimeter: p = 26.28987962011
Semiperimeter: s = 13.14443981006

Angle ∠ A = α = 66° = 1.15219173063 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 24° = 0.41988790205 rad

Height: ha = 4.6088326166
Height: hb = 4.21099154363
Height: hc = 10.35504700351

Median: ma = 6.93296267966
Median: mb = 5.665
Median: mc = 10.60438388077

Inradius: r = 1.81443981006
Circumradius: R = 5.665

Vertex coordinates: A[4.6088326166; 0] B[0; 0] C[-0; 10.35504700351]
Centroid: CG[1.5366108722; 3.45501566784]
Coordinates of the circumscribed circle: U[2.3044163083; 5.17552350175]
Coordinates of the inscribed circle: I[1.81443981006; 1.81443981006]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 114° = 1.15219173063 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 156° = 0.41988790205 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.