Triangle calculator
Acute isosceles triangle.
Sides: a = 55.16988959481 b = 55.16988959481 c = 46.63107658155Area: T = 1165.769914539
Perimeter: p = 156.9698557712
Semiperimeter: s = 78.48442788559
Angle ∠ A = α = 65° = 1.13444640138 rad
Angle ∠ B = β = 65° = 1.13444640138 rad
Angle ∠ C = γ = 50° = 0.8732664626 rad
Height: ha = 42.26218261741
Height: hb = 42.26218261741
Height: hc = 50
Median: ma = 42.99897188907
Median: mb = 42.99897188907
Median: mc = 50
Inradius: r = 14.85435370699
Circumradius: R = 30.43660708014
Vertex coordinates: A[46.63107658155; 0] B[0; 0] C[23.31553829077; 50]
Centroid: CG[23.31553829077; 16.66766666667]
Coordinates of the circumscribed circle: U[23.31553829077; 19.56439291987]
Coordinates of the inscribed circle: I[23.31553829077; 14.85435370699]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 115° = 1.13444640138 rad
∠ B' = β' = 115° = 1.13444640138 rad
∠ C' = γ' = 130° = 0.8732664626 rad
Calculate another triangle
How did we calculate this triangle?
1. Input data entered: angle α, angle β, angle γ and height hc.

2. From angle β, side a and b we calculate c - by using the law of cosines and quadratic equation:


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.

3. The triangle circumference is the sum of the lengths of its three sides

4. Semiperimeter of the triangle

5. The triangle area using Heron's formula

6. Calculate the heights of the triangle from its area.

7. Calculation of the inner angles of the triangle using a Law of Cosines

8. Inradius

9. Circumradius
