Triangle calculator ASA
Acute isosceles triangle.
Sides: a = 109.9099240141 b = 102 c = 102Area: T = 4722.258844333
Perimeter: p = 313.9099240141
Semiperimeter: s = 156.9554620071
Angle ∠ A = α = 65.2° = 65°12' = 1.13879546723 rad
Angle ∠ B = β = 57.4° = 57°24' = 1.00218189906 rad
Angle ∠ C = γ = 57.4° = 57°24' = 1.00218189906 rad
Height: ha = 85.93301444947
Height: hb = 92.59333028104
Height: hc = 92.59333028104
Median: ma = 85.93301444947
Median: mb = 92.9577089747
Median: mc = 92.9577089747
Inradius: r = 30.08767756629
Circumradius: R = 60.53875451256
Vertex coordinates: A[102; 0] B[0; 0] C[59.21658875905; 92.59333028104]
Centroid: CG[53.73986291968; 30.86444342701]
Coordinates of the circumscribed circle: U[51; 32.61658607097]
Coordinates of the inscribed circle: I[54.95546200707; 30.08767756629]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 114.8° = 114°48' = 1.13879546723 rad
∠ B' = β' = 122.6° = 122°36' = 1.00218189906 rad
∠ C' = γ' = 122.6° = 122°36' = 1.00218189906 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
