Triangle calculator ASA

Please enter the side of the triangle and two adjacent angles
°
°

Right scalene triangle.

Sides: a = 1523.143991783   b = 264.4990471063   c = 1500

Area: T = 198367.8533297
Perimeter: p = 3287.633038889
Semiperimeter: s = 1643.815519445

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 10° = 0.17545329252 rad
Angle ∠ C = γ = 80° = 1.39662634016 rad

Height: ha = 260.47222665
Height: hb = 1500
Height: hc = 264.4990471063

Median: ma = 761.5769958914
Median: mb = 1505.81883165
Median: mc = 795.2710525848

Inradius: r = 120.6755276617
Circumradius: R = 761.5769958914

Vertex coordinates: A[1500; 0] B[0; 0] C[1500; 264.4990471063]
Centroid: CG[1000; 88.16334903542]
Coordinates of the circumscribed circle: U[750; 132.2455235531]
Coordinates of the inscribed circle: I[1379.325472338; 120.6755276617]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 170° = 0.17545329252 rad
∠ C' = γ' = 100° = 1.39662634016 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 a 3. By using the law of sines, we calculate last unknown side b 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     