# Triangle calculator ASA

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

### Acute isosceles triangle.

Sides: a = 3591.227714932   b = 3591.227714932   c = 4806

Area: T = 6413130.901114
Perimeter: p = 11988.45442986
Semiperimeter: s = 5994.227714932

Angle ∠ A = α = 48° = 0.8387758041 rad
Angle ∠ B = β = 48° = 0.8387758041 rad
Angle ∠ C = γ = 84° = 1.46660765717 rad

Height: ha = 3571.554403124
Height: hb = 3571.554403124
Height: hc = 2668.802187313

Median: ma = 3843.572205078
Median: mb = 3843.572205078
Median: mc = 2668.802187313

Inradius: r = 1069.88545308
Circumradius: R = 2416.236639579

Vertex coordinates: A[4806; 0] B[0; 0] C[2403; 2668.802187313]
Centroid: CG[2403; 889.6010624378]
Coordinates of the circumscribed circle: U[2403; 252.5655477343]
Coordinates of the inscribed circle: I[2403; 1069.88545308]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132° = 0.8387758041 rad
∠ B' = β' = 132° = 0.8387758041 rad
∠ C' = γ' = 96° = 1.46660765717 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 ### 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.