4 7 7 triangle

Acute isosceles triangle.

Sides: a = 4   b = 7   c = 7

Area: T = 13.4166407865
Perimeter: p = 18
Semiperimeter: s = 9

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 = 6.70882039325
Height: hb = 3.833325939
Height: hc = 3.833325939

Median: ma = 6.70882039325
Median: mb = 4.5
Median: mc = 4.5

Vertex coordinates: A[7; 0] B[0; 0] C[1.14328571429; 3.833325939]
Centroid: CG[2.71442857143; 1.278775313]
Coordinates of the circumscribed circle: U[3.5; 1.04334983895]
Coordinates of the inscribed circle: I[2; 1.4910711985]

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?

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    