# 7 25 29 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 25   c = 29

Area: T = 76.89772528768
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 12.24772256437° = 12°14'50″ = 0.21437544117 rad
Angle ∠ B = β = 49.25438111784° = 49°15'14″ = 0.86596411742 rad
Angle ∠ C = γ = 118.4998963178° = 118°29'56″ = 2.06881970677 rad

Height: ha = 21.97106436791
Height: hb = 6.15217802301
Height: hc = 5.30332588191

Median: ma = 26.84767875173
Median: mb = 16.9932645468
Median: mc = 11.25883302492

Inradius: r = 2.52112214058
Circumradius: R = 16.49992890192

Vertex coordinates: A[29; 0] B[0; 0] C[4.56989655172; 5.30332588191]
Centroid: CG[11.19896551724; 1.76877529397]
Coordinates of the circumscribed circle: U[14.5; -7.87325179035]
Coordinates of the inscribed circle: I[5.5; 2.52112214058]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 167.7532774356° = 167°45'10″ = 0.21437544117 rad
∠ B' = β' = 130.7466188822° = 130°44'46″ = 0.86596411742 rad
∠ C' = γ' = 61.50110368221° = 61°30'4″ = 2.06881970677 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    