Triangle calculator ASA

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

Right isosceles triangle.

Sides: a = 50.91216882454   b = 36   c = 36

Area: T = 648
Perimeter: p = 122.9121688245
Semiperimeter: s = 61.45658441227

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

Height: ha = 25.45658441227
Height: hb = 36
Height: hc = 36

Median: ma = 25.45658441227
Median: mb = 40.2499223595
Median: mc = 40.2499223595

Inradius: r = 10.54441558773
Circumradius: R = 25.45658441227

Vertex coordinates: A[36; 0] B[0; 0] C[36; 36]
Centroid: CG[24; 12]
Coordinates of the circumscribed circle: U[18; 18]
Coordinates of the inscribed circle: I[25.45658441227; 10.54441558773]

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