Triangle calculator ASA

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

Right isosceles triangle.

Sides: a = 342.5   b = 484.3688145113   c = 342.5

Area: T = 58653.125
Perimeter: p = 1169.368814511
Semiperimeter: s = 584.6844072556

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

Height: ha = 342.5
Height: hb = 242.1844072556
Height: hc = 342.5

Median: ma = 382.9276641147
Median: mb = 242.1844072556
Median: mc = 382.9276641147

Inradius: r = 100.3165927444
Circumradius: R = 242.1844072556

Vertex coordinates: A[342.5; 0] B[0; 0] C[-0; 342.5]
Centroid: CG[114.1676666667; 114.1676666667]
Coordinates of the circumscribed circle: U[171.25; 171.25]
Coordinates of the inscribed circle: I[100.3165927444; 100.3165927444]

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