18 18 24 triangle

Acute isosceles triangle.

Sides: a = 18   b = 18   c = 24

Area: T = 160.997689438
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 48.19896851042° = 48°11'23″ = 0.84110686706 rad
Angle ∠ B = β = 48.19896851042° = 48°11'23″ = 0.84110686706 rad
Angle ∠ C = γ = 83.62106297916° = 83°37'14″ = 1.45994553125 rad

Height: ha = 17.889854382
Height: hb = 17.889854382
Height: hc = 13.4166407865

Median: ma = 19.20993727123
Median: mb = 19.20993727123
Median: mc = 13.4166407865

Vertex coordinates: A[24; 0] B[0; 0] C[12; 13.4166407865]
Centroid: CG[12; 4.4722135955]
Coordinates of the circumscribed circle: U[12; 1.34216407865]
Coordinates of the inscribed circle: I[12; 5.3676563146]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.8110314896° = 131°48'37″ = 0.84110686706 rad
∠ B' = β' = 131.8110314896° = 131°48'37″ = 0.84110686706 rad
∠ C' = γ' = 96.37993702084° = 96°22'46″ = 1.45994553125 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    