# 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 = 398.7943633869   b = 240   c = 318.4910757189

Area: T = 38218.89108627
Perimeter: p = 957.2844391058
Semiperimeter: s = 478.6422195529

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 37° = 0.64657718232 rad
Angle ∠ C = γ = 53° = 0.92550245036 rad

Height: ha = 191.6732522411
Height: hb = 318.4910757189
Height: hc = 240

Median: ma = 199.3976816935
Median: mb = 340.3477414291
Median: mc = 288.0266197773

Inradius: r = 79.84985616598
Circumradius: R = 199.3976816935

Vertex coordinates: A[318.4910757189; 0] B[0; 0] C[318.4910757189; 240]
Centroid: CG[212.3277171459; 80]
Coordinates of the circumscribed circle: U[159.2455378594; 120]
Coordinates of the inscribed circle: I[238.6422195529; 79.84985616598]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 143° = 0.64657718232 rad
∠ C' = γ' = 127° = 0.92550245036 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.