# 14 25 29 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 25   c = 29

Area: T = 174.9298556845
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 28.85328340448° = 28°51'10″ = 0.50435769526 rad
Angle ∠ B = β = 59.51099208774° = 59°30'36″ = 1.03986440569 rad
Angle ∠ C = γ = 91.63772450778° = 91°38'14″ = 1.59993716441 rad

Height: ha = 24.99897938351
Height: hb = 13.99442845476
Height: hc = 12.06440384031

Median: ma = 26.15333936612
Median: mb = 19.03328663107
Median: mc = 14.15109716981

Inradius: r = 5.14549575543
Circumradius: R = 14.50659219933

Vertex coordinates: A[29; 0] B[0; 0] C[7.10334482759; 12.06440384031]
Centroid: CG[12.03444827586; 4.02113461344]
Coordinates of the circumscribed circle: U[14.5; -0.41444549141]
Coordinates of the inscribed circle: I[9; 5.14549575543]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.1477165955° = 151°8'50″ = 0.50435769526 rad
∠ B' = β' = 120.4990079123° = 120°29'24″ = 1.03986440569 rad
∠ C' = γ' = 88.36327549222° = 88°21'46″ = 1.59993716441 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    