# Triangle calculator ASA

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

### Right scalene triangle.

Sides: a = 2408.863323996   b = 9307.133286189   c = 8990

Area: T = 10827840.26436
Perimeter: p = 20705.99661018
Semiperimeter: s = 10352.99880509

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

Height: ha = 8990
Height: hb = 2326.783321547
Height: hc = 2408.863323996

Median: ma = 9070.323279068
Median: mb = 4653.566643094
Median: mc = 5099.769931918

Inradius: r = 1045.865518903
Circumradius: R = 4653.566643094

Vertex coordinates: A[8990; 0] B[0; 0] C[-0; 2408.863323996]
Centroid: CG[2996.667666667; 802.9544413319]
Coordinates of the circumscribed circle: U[4495; 1204.432161998]
Coordinates of the inscribed circle: I[1045.865518903; 1045.865518903]

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