Isosceles triangle calculator (a,b)

Please enter two properties of the isosceles triangle

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

You have entered side a and b.

Acute isosceles triangle.

Sides: a = 500   b = 500   c = 4.5

Area: T = 1124.989860932
Perimeter: p = 1004.5
Semiperimeter: s = 502.25

Angle ∠ A = α = 89.7422168122° = 89°44'32″ = 1.56662963116 rad
Angle ∠ B = β = 89.7422168122° = 89°44'32″ = 1.56662963116 rad
Angle ∠ C = γ = 0.5165663756° = 0°30'56″ = 0.00990000304 rad

Height: ha = 4.54999544373
Height: hb = 4.54999544373
Height: hc = 499.9954937474

Median: ma = 250.022024918
Median: mb = 250.022024918
Median: mc = 499.9954937474

Vertex coordinates: A[4.5; 0] B[0; 0] C[2.25; 499.9954937474]
Centroid: CG[2.25; 166.6654979158]
Coordinates of the circumscribed circle: U[2.25; 249.9922406186]
Coordinates of the inscribed circle: I[2.25; 2.24398976791]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90.2587831878° = 90°15'28″ = 1.56662963116 rad
∠ B' = β' = 90.2587831878° = 90°15'28″ = 1.56662963116 rad
∠ C' = γ' = 179.4844336244° = 179°29'4″ = 0.00990000304 rad

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    