Isosceles triangle calculator (a)
Acute isosceles triangle.
Sides: a = 32 b = 32 c = 24.49217396714Area: T = 362.0398671968
Perimeter: p = 88.49217396714
Semiperimeter: s = 44.24658698357
Angle ∠ A = α = 67.5° = 67°30' = 1.17880972451 rad
Angle ∠ B = β = 67.5° = 67°30' = 1.17880972451 rad
Angle ∠ C = γ = 45° = 0.78553981634 rad
Height: ha = 22.6277416998
Height: hb = 22.6277416998
Height: hc = 29.56441450404
Median: ma = 23.57880121313
Median: mb = 23.57880121313
Median: mc = 29.56441450404
Inradius: r = 8.18224286269
Circumradius: R = 17.31882752047
Vertex coordinates: A[24.49217396714; 0] B[0; 0] C[12.24658698357; 29.56441450404]
Centroid: CG[12.24658698357; 9.85547150135]
Coordinates of the circumscribed circle: U[12.24658698357; 12.24658698357]
Coordinates of the inscribed circle: I[12.24658698357; 8.18224286269]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 112.5° = 112°30' = 1.17880972451 rad
∠ B' = β' = 112.5° = 112°30' = 1.17880972451 rad
∠ C' = γ' = 135° = 0.78553981634 rad
Calculate another triangle
How did we calculate this triangle?
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.
1. The triangle circumference is the sum of the lengths of its three sides

2. Semiperimeter of the triangle

3. The triangle area using Heron's formula

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

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

6. Inradius

7. Circumradius
