# Triangle calculator ASA

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

### Obtuse scalene triangle.

Sides: a = 7.91549893473   b = 5.26771301924   c = 4.7

Area: T = 11.95659941456
Perimeter: p = 17.88221195396
Semiperimeter: s = 8.94110597698

Angle ∠ A = α = 105° = 1.83325957146 rad
Angle ∠ B = β = 40° = 0.69881317008 rad
Angle ∠ C = γ = 35° = 0.61108652382 rad

Height: ha = 3.02111017655
Height: hb = 4.54398513836
Height: hc = 5.08876570832

Median: ma = 3.04221318413
Median: mb = 5.95325509715
Median: mc = 6.29985997186

Inradius: r = 1.3377201009
Circumradius: R = 4.09770999697

Vertex coordinates: A[4.7; 0] B[0; 0] C[6.06332336068; 5.08876570832]
Centroid: CG[3.58877445356; 1.69658856944]
Coordinates of the circumscribed circle: U[2.35; 3.35661478158]
Coordinates of the inscribed circle: I[3.67439295775; 1.3377201009]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 75° = 1.83325957146 rad
∠ B' = β' = 140° = 0.69881317008 rad
∠ C' = γ' = 145° = 0.61108652382 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    