# Triangle calculator

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

### Right scalene triangle.

Sides: a = 100   b = 1.74655064928   c = 100.0155232804

Area: T = 87.27553246411
Perimeter: p = 201.7610739297
Semiperimeter: s = 100.8880369649

Angle ∠ A = α = 89° = 1.55333430343 rad
Angle ∠ B = β = 1° = 0.01774532925 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 1.74655064928
Height: hb = 100
Height: hc = 1.74552406437

Median: ma = 50.03304586519
Median: mb = 100.0043808419
Median: mc = 50.00876164022

Inradius: r = 0.86551368442
Circumradius: R = 50.00876164022

Vertex coordinates: A[100.0155232804; 0] B[0; 0] C[99.98547695156; 1.74552406437]
Centroid: CG[66.667666744; 0.58217468812]
Coordinates of the circumscribed circle: U[50.00876164022; -0]
Coordinates of the inscribed circle: I[99.13548631558; 0.86551368442]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 91° = 1.55333430343 rad
∠ B' = β' = 179° = 0.01774532925 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

### 1. Input data entered: side a, angle β and angle γ. ### 2. From angle β and angle γ we calculate angle α: ### 3. From angle β, angle α and side a we calculate side b - By using the law of sines, we calculate unknown side b: ### 4. From angle γ, angle α and side a we calculate side c - By using the law of sines, we calculate unknown side c: 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.