Triangle calculator ASA
Right isosceles triangle.
Sides: a = 67.88222509939 b = 48 c = 48Area: T = 1152
Perimeter: p = 163.8822250994
Semiperimeter: s = 81.9411125497
Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 45° = 0.78553981634 rad
Angle ∠ C = γ = 45° = 0.78553981634 rad
Height: ha = 33.9411125497
Height: hb = 48
Height: hc = 48
Median: ma = 33.9411125497
Median: mb = 53.666563146
Median: mc = 53.666563146
Inradius: r = 14.0598874503
Circumradius: R = 33.9411125497
Vertex coordinates: A[48; 0] B[0; 0] C[48; 48]
Centroid: CG[32; 16]
Coordinates of the circumscribed circle: U[24; 24]
Coordinates of the inscribed circle: I[33.9411125497; 14.0598874503]
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
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
