# 620 500 620 triangle

### Acute isosceles triangle.

Sides: a = 620   b = 500   c = 620

Area: T = 141840.5879525
Perimeter: p = 1740
Semiperimeter: s = 870

Angle ∠ A = α = 66.22200052686° = 66°13'12″ = 1.15657571226 rad
Angle ∠ B = β = 47.56599894628° = 47°33'36″ = 0.83300784083 rad
Angle ∠ C = γ = 66.22200052686° = 66°13'12″ = 1.15657571226 rad

Height: ha = 457.5550256532
Height: hb = 567.36223181
Height: hc = 457.5550256532

Median: ma = 470.213271782
Median: mb = 567.36223181
Median: mc = 470.213271782

Inradius: r = 163.0355148879
Circumradius: R = 338.7610601239

Vertex coordinates: A[620; 0] B[0; 0] C[418.3877096774; 457.5550256532]
Centroid: CG[346.1299032258; 152.5176752177]
Coordinates of the circumscribed circle: U[310; 136.5977016629]
Coordinates of the inscribed circle: I[370; 163.0355148879]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 113.7879994731° = 113°46'48″ = 1.15657571226 rad
∠ B' = β' = 132.4440010537° = 132°26'24″ = 0.83300784083 rad
∠ C' = γ' = 113.7879994731° = 113°46'48″ = 1.15657571226 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    