# Triangle calculator

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

### Right scalene triangle.

Sides: a = 3418.194426013   b = 2316   c = 2514

Area: T = 2911212
Perimeter: p = 8248.194426013
Semiperimeter: s = 4124.097713007

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 42.65325432854° = 42°39'9″ = 0.74444273147 rad
Angle ∠ C = γ = 47.34774567146° = 47°20'51″ = 0.82663690121 rad

Height: ha = 1703.363252328
Height: hb = 2514
Height: hc = 2316

Median: ma = 1709.097713007
Median: mb = 2767.88800552
Median: mc = 2635.12990291

Inradius: r = 705.9032869934
Circumradius: R = 1709.097713007

Vertex coordinates: A[2514; 0] B[0; 0] C[2514; 2316]
Centroid: CG[1676; 772]
Coordinates of the circumscribed circle: U[1257; 1158]
Coordinates of the inscribed circle: I[1808.097713007; 705.9032869934]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 137.3477456715° = 137°20'51″ = 0.74444273147 rad
∠ C' = γ' = 132.6532543285° = 132°39'9″ = 0.82663690121 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.