102 102 90 triangle

Acute isosceles triangle.

Sides: a = 102   b = 102   c = 90

Area: T = 4119.165950165
Perimeter: p = 294
Semiperimeter: s = 147

Angle ∠ A = α = 63.8211031296° = 63°49'16″ = 1.11438871281 rad
Angle ∠ B = β = 63.8211031296° = 63°49'16″ = 1.11438871281 rad
Angle ∠ C = γ = 52.3587937408° = 52°21'29″ = 0.91438183973 rad

Height: ha = 80.76878333656
Height: hb = 80.76878333656
Height: hc = 91.53768778144

Median: ma = 81.55436633144
Median: mb = 81.55436633144
Median: mc = 91.53768778144

Inradius: r = 28.02114932085
Circumradius: R = 56.83295546474

Vertex coordinates: A[90; 0] B[0; 0] C[45; 91.53768778144]
Centroid: CG[45; 30.51222926048]
Coordinates of the circumscribed circle: U[45; 34.7077323167]
Coordinates of the inscribed circle: I[45; 28.02114932085]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 116.1798968704° = 116°10'44″ = 1.11438871281 rad
∠ B' = β' = 116.1798968704° = 116°10'44″ = 1.11438871281 rad
∠ C' = γ' = 127.6422062592° = 127°38'31″ = 0.91438183973 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     