Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Right scalene triangle.

Sides: a = 1700   b = 1642.074390469   c = 439.9922376674

Area: T = 361250
Perimeter: p = 3782.066628137
Semiperimeter: s = 1891.033314068

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 75° = 1.3098996939 rad
Angle ∠ C = γ = 15° = 0.26217993878 rad

Height: ha = 425
Height: hb = 439.9922376674
Height: hc = 1642.074390469

Median: ma = 850
Median: mb = 931.5011459284
Median: mc = 1656.745531276

Inradius: r = 191.0333140683
Circumradius: R = 850

Vertex coordinates: A[439.9922376674; 0] B[0; 0] C[439.9922376674; 1642.074390469]
Centroid: CG[293.3288251116; 547.358796823]
Coordinates of the circumscribed circle: U[219.9966188337; 821.0376952346]
Coordinates of the inscribed circle: I[248.9599235991; 191.0333140683]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 105° = 1.3098996939 rad
∠ C' = γ' = 165° = 0.26217993878 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     