# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Right scalene triangle.

Sides: a = 590   b = 627.8654885761   c = 214.7422438217

Area: T = 63349.0199274
Perimeter: p = 1432.607732398
Semiperimeter: s = 716.3043661989

Angle ∠ A = α = 70° = 1.22217304764 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 20° = 0.34990658504 rad

Height: ha = 214.7422438217
Height: hb = 201.7921884562
Height: hc = 590

Median: ma = 364.8832604095
Median: mb = 313.932244288
Median: mc = 599.6990402369

Inradius: r = 88.43987762281
Circumradius: R = 313.932244288

Vertex coordinates: A[214.7422438217; 0] B[0; 0] C[-0; 590]
Centroid: CG[71.5810812739; 196.6676666667]
Coordinates of the circumscribed circle: U[107.3711219109; 295]
Coordinates of the inscribed circle: I[88.43987762281; 88.43987762281]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 110° = 1.22217304764 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 160° = 0.34990658504 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.