22 27 30 triangle

Acute scalene triangle.

Sides: a = 22   b = 27   c = 30

Area: T = 286.5066435355
Perimeter: p = 79
Semiperimeter: s = 39.5

Angle ∠ A = α = 45.02656525491° = 45°1'32″ = 0.78658458848 rad
Angle ∠ B = β = 60.25502892152° = 60°15'1″ = 1.05215659221 rad
Angle ∠ C = γ = 74.72440582357° = 74°43'27″ = 1.30441808467 rad

Height: ha = 26.04660395778
Height: hb = 21.22326989152
Height: hc = 19.11004290237

Median: ma = 26.33443881645
Median: mb = 22.57876438098
Median: mc = 19.53220249846

Vertex coordinates: A[30; 0] B[0; 0] C[10.91766666667; 19.11004290237]
Centroid: CG[13.63988888889; 6.36768096746]
Coordinates of the circumscribed circle: U[15; 4.09767666173]
Coordinates of the inscribed circle: I[12.5; 7.25333274773]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 134.9744347451° = 134°58'28″ = 0.78658458848 rad
∠ B' = β' = 119.7549710785° = 119°44'59″ = 1.05215659221 rad
∠ C' = γ' = 105.2765941764° = 105°16'33″ = 1.30441808467 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    