12 24 24 triangle

Acute isosceles triangle.

Sides: a = 12   b = 24   c = 24

Area: T = 139.4277400463
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 28.95550243719° = 28°57'18″ = 0.50553605103 rad
Angle ∠ B = β = 75.52224878141° = 75°31'21″ = 1.31881160717 rad
Angle ∠ C = γ = 75.52224878141° = 75°31'21″ = 1.31881160717 rad

Height: ha = 23.23879000772
Height: hb = 11.61989500386
Height: hc = 11.61989500386

Median: ma = 23.23879000772
Median: mb = 14.69769384567
Median: mc = 14.69769384567

Vertex coordinates: A[24; 0] B[0; 0] C[3; 11.61989500386]
Centroid: CG[9; 3.87329833462]
Coordinates of the circumscribed circle: U[12; 3.0988386677]
Coordinates of the inscribed circle: I[6; 4.64875800154]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.0454975628° = 151°2'42″ = 0.50553605103 rad
∠ B' = β' = 104.4787512186° = 104°28'39″ = 1.31881160717 rad
∠ C' = γ' = 104.4787512186° = 104°28'39″ = 1.31881160717 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    