# Triangle calculator ASA

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

### Right isosceles triangle.

Sides: a = 33.9411125497   b = 33.9411125497   c = 48

Area: T = 576
Perimeter: p = 115.8822250994
Semiperimeter: s = 57.9411125497

Angle ∠ A = α = 45° = 0.78553981634 rad
Angle ∠ B = β = 45° = 0.78553981634 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 33.9411125497
Height: hb = 33.9411125497
Height: hc = 24

Median: ma = 37.9477331922
Median: mb = 37.9477331922
Median: mc = 24

Inradius: r = 9.9411125497
Circumradius: R = 24

Vertex coordinates: A[48; 0] B[0; 0] C[24; 24]
Centroid: CG[24; 8]
Coordinates of the circumscribed circle: U[24; 0]
Coordinates of the inscribed circle: I[24; 9.9411125497]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135° = 0.78553981634 rad
∠ B' = β' = 135° = 0.78553981634 rad
∠ C' = γ' = 90° = 1.57107963268 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    