# Triangle calculator ASA

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

### Right scalene triangle.

Sides: a = 6.35108529611   b = 3.17554264805   c = 5.5

Area: T = 8.73224228215
Perimeter: p = 15.02662794416
Semiperimeter: s = 7.51331397208

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 60° = 1.04771975512 rad

Height: ha = 2.75
Height: hb = 5.5
Height: hc = 3.17554264805

Median: ma = 3.17554264805
Median: mb = 5.72545814985
Median: mc = 4.2010694387

Inradius: r = 1.16222867597
Circumradius: R = 3.17554264805

Vertex coordinates: A[5.5; 0] B[0; 0] C[5.5; 3.17554264805]
Centroid: CG[3.66766666667; 1.05884754935]
Coordinates of the circumscribed circle: U[2.75; 1.58877132403]
Coordinates of the inscribed circle: I[4.33877132403; 1.16222867597]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 120° = 1.04771975512 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    