40 70 70 triangle

Acute isosceles triangle.

Sides: a = 40   b = 70   c = 70

Area: T = 1341.64107865
Perimeter: p = 180
Semiperimeter: s = 90

Angle ∠ A = α = 33.2033099198° = 33°12'11″ = 0.58795034029 rad
Angle ∠ B = β = 73.3988450401° = 73°23'54″ = 1.28110446254 rad
Angle ∠ C = γ = 73.3988450401° = 73°23'54″ = 1.28110446254 rad

Height: ha = 67.0822039325
Height: hb = 38.33325939
Height: hc = 38.33325939

Median: ma = 67.0822039325
Median: mb = 45
Median: mc = 45

Inradius: r = 14.907711985
Circumradius: R = 36.52224436325

Vertex coordinates: A[70; 0] B[0; 0] C[11.42985714286; 38.33325939]
Centroid: CG[27.14328571429; 12.77875313]
Coordinates of the circumscribed circle: U[35; 10.4354983895]
Coordinates of the inscribed circle: I[20; 14.907711985]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.7976900802° = 146°47'49″ = 0.58795034029 rad
∠ B' = β' = 106.6021549599° = 106°36'6″ = 1.28110446254 rad
∠ C' = γ' = 106.6021549599° = 106°36'6″ = 1.28110446254 rad

How did we calculate this triangle?

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     