Triangle calculator ASA
Right scalene triangle.
Sides: a = 77.42549005891 b = 48.93548059282 c = 60Area: T = 1468.044417785
Perimeter: p = 186.3659706517
Semiperimeter: s = 93.18798532587
Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 39.2° = 39°12' = 0.68441690668 rad
Angle ∠ C = γ = 50.8° = 50°48' = 0.887662726 rad
Height: ha = 37.92217581599
Height: hb = 60
Height: hc = 48.93548059282
Median: ma = 38.71224502946
Median: mb = 64.79770200535
Median: mc = 57.39987389342
Inradius: r = 15.75549526696
Circumradius: R = 38.71224502946
Vertex coordinates: A[60; 0] B[0; 0] C[60; 48.93548059282]
Centroid: CG[40; 16.31216019761]
Coordinates of the circumscribed circle: U[30; 24.46774029641]
Coordinates of the inscribed circle: I[44.24550473304; 15.75549526696]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 140.8° = 140°48' = 0.68441690668 rad
∠ C' = γ' = 129.2° = 129°12' = 0.887662726 rad
Calculate another triangle
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

9. Inradius

10. Circumradius
