# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Acute scalene triangle.

Sides: a = 54   b = 61.20989477188   c = 47.32202177538

Area: T = 1228.152204479
Perimeter: p = 162.5299165473
Semiperimeter: s = 81.26545827363

Angle ∠ A = α = 58° = 1.01222909662 rad
Angle ∠ B = β = 74° = 1.29215436465 rad
Angle ∠ C = γ = 48° = 0.8387758041 rad

Height: ha = 45.48771127701
Height: hb = 40.13298205758
Height: hc = 51.90881315807

Median: ma = 47.58801339274
Median: mb = 40.50988593263
Median: mc = 52.64547232717

Inradius: r = 15.11330049948
Circumradius: R = 31.83878168908

Vertex coordinates: A[47.32202177538; 0] B[0; 0] C[14.88444172141; 51.90881315807]
Centroid: CG[20.73548783226; 17.30327105269]
Coordinates of the circumscribed circle: U[23.66601088769; 21.30436577213]
Coordinates of the inscribed circle: I[20.05656350175; 15.11330049948]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 122° = 1.01222909662 rad
∠ B' = β' = 106° = 1.29215436465 rad
∠ C' = γ' = 132° = 0.8387758041 rad

# How did we calculate this triangle?

### 1. Calculate the third unknown inner angle ### 2. By using the law of sines, we calculate unknown side b ### 3. By using the law of sines, we calculate last 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. ### 4. The triangle circumference is the sum of the lengths of its three sides ### 5. Semiperimeter of the triangle ### 6. The triangle area using Heron's formula ### 7. Calculate the heights of the triangle from its area. ### 8. Calculation of the inner angles of the triangle using a Law of Cosines ### 9. Inradius ### 10. Circumradius ### 11. 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.