# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Acute isosceles triangle.

Sides: a = 48   b = 70.17113056039   c = 70.17113056039

Area: T = 1582.547699361
Perimeter: p = 188.3432611208
Semiperimeter: s = 94.17113056039

Angle ∠ A = α = 40° = 0.69881317008 rad
Angle ∠ B = β = 70° = 1.22217304764 rad
Angle ∠ C = γ = 70° = 1.22217304764 rad

Height: ha = 65.93994580669
Height: hb = 45.10552457977
Height: hc = 45.10552457977

Median: ma = 65.93994580669
Median: mb = 48.81660120508
Median: mc = 48.81660120508

Inradius: r = 16.8054980917
Circumradius: R = 37.33773718446

Vertex coordinates: A[70.17113056039; 0] B[0; 0] C[16.41769668796; 45.10552457977]
Centroid: CG[28.86327574945; 15.03550819326]
Coordinates of the circumscribed circle: U[35.0865652802; 12.77701332697]
Coordinates of the inscribed circle: I[24; 16.8054980917]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 140° = 0.69881317008 rad
∠ B' = β' = 110° = 1.22217304764 rad
∠ C' = γ' = 110° = 1.22217304764 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 b ### 3. By using the law of sines, we calculate last unknown side c 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    