# Triangle calculator

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

### Acute scalene triangle.

Sides: a = 14.97325484853   b = 13   c = 11.51992819451

Area: T = 72.32440175519
Perimeter: p = 39.49218304304
Semiperimeter: s = 19.74659152152

Angle ∠ A = α = 75° = 1.3098996939 rad
Angle ∠ B = β = 57° = 0.99548376736 rad
Angle ∠ C = γ = 48° = 0.8387758041 rad

Height: ha = 9.66108827312
Height: hb = 11.12767719311
Height: hc = 12.55770357418

Median: ma = 9.73766640195
Median: mb = 11.67698557119
Median: mc = 12.78333931309

Inradius: r = 3.66327331154
Circumradius: R = 7.75503614034

Vertex coordinates: A[11.51992819451; 0] B[0; 0] C[8.15546343588; 12.55770357418]
Centroid: CG[6.55879721013; 4.18656785806]
Coordinates of the circumscribed circle: U[5.76596409725; 5.18660040254]
Coordinates of the inscribed circle: I[6.74659152152; 3.66327331154]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 105° = 1.3098996939 rad
∠ B' = β' = 123° = 0.99548376736 rad
∠ C' = γ' = 132° = 0.8387758041 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.