Isosceles triangle calculator (b,h)

Please enter two properties of the isosceles triangle

Use symbols: a, b, h, T, p, A, B, C, r, R

You have entered side b and height hc.

Acute isosceles triangle.

Sides: a = 111.8033398875   b = 111.8033398875   c = 100

Area: T = 5000
Perimeter: p = 323.607679775
Semiperimeter: s = 161.8033398875

Angle ∠ A = α = 63.43549488229° = 63°26'6″ = 1.10771487178 rad
Angle ∠ B = β = 63.43549488229° = 63°26'6″ = 1.10771487178 rad
Angle ∠ C = γ = 53.13301023542° = 53°7'48″ = 0.9277295218 rad

Height: ha = 89.44327191
Height: hb = 89.44327191
Height: hc = 100

Median: ma = 90.13987818866
Median: mb = 90.13987818866
Median: mc = 100

Inradius: r = 30.90216994375
Circumradius: R = 62.5

Vertex coordinates: A[100; 0] B[0; 0] C[50; 100]
Centroid: CG[50; 33.33333333333]
Coordinates of the circumscribed circle: U[50; 37.5]
Coordinates of the inscribed circle: I[50; 30.90216994375]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 116.5655051177° = 116°33'54″ = 1.10771487178 rad
∠ B' = β' = 116.5655051177° = 116°33'54″ = 1.10771487178 rad
∠ C' = γ' = 126.8769897646° = 126°52'12″ = 0.9277295218 rad

How did we calculate this triangle?

1. Input data entered: side b and height hc 2. From height h we calculate side a - Pythagorean theorem: 3. From side a we calculate perimeter p: 4. From side a we calculate 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. 5. The triangle circumference is the sum of the lengths of its three sides 6. Semiperimeter of the triangle 7. The triangle area using Heron's formula 8. Calculate the heights of the triangle from its area. 9. Calculation of the inner angles of the triangle using a Law of Cosines     