# 25 29 30 triangle

### Acute scalene triangle.

Sides: a = 25   b = 29   c = 30

Area: T = 333.7422415644
Perimeter: p = 84
Semiperimeter: s = 42

Angle ∠ A = α = 50.1055251744° = 50°6'19″ = 0.87545016155 rad
Angle ∠ B = β = 62.87107055354° = 62°52'15″ = 1.09773008146 rad
Angle ∠ C = γ = 67.02440427206° = 67°1'27″ = 1.17697902235 rad

Height: ha = 26.69993932515
Height: hb = 23.01767183203
Height: hc = 22.24994943763

Median: ma = 26.72554560298
Median: mb = 23.5
Median: mc = 22.53988553392

Inradius: r = 7.94662479915
Circumradius: R = 16.29325050731

Vertex coordinates: A[30; 0] B[0; 0] C[11.4; 22.24994943763]
Centroid: CG[13.8; 7.41664981254]
Coordinates of the circumscribed circle: U[15; 6.36596950837]
Coordinates of the inscribed circle: I[13; 7.94662479915]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129.8954748256° = 129°53'41″ = 0.87545016155 rad
∠ B' = β' = 117.1299294465° = 117°7'45″ = 1.09773008146 rad
∠ C' = γ' = 112.9765957279° = 112°58'33″ = 1.17697902235 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    