# 14 16 29 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 16   c = 29

Area: T = 55.55657152775
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 13.85549244913° = 13°51'18″ = 0.242181405 rad
Angle ∠ B = β = 15.88329774841° = 15°52'59″ = 0.27772102521 rad
Angle ∠ C = γ = 150.2622098025° = 150°15'44″ = 2.62325683515 rad

Height: ha = 7.93765307539
Height: hb = 6.94444644097
Height: hc = 3.83114286398

Median: ma = 22.34994966386
Median: mb = 21.31990056053
Median: mc = 3.96986269666

Inradius: r = 1.88332445857
Circumradius: R = 29.23219159584

Vertex coordinates: A[29; 0] B[0; 0] C[13.46655172414; 3.83114286398]
Centroid: CG[14.15551724138; 1.27771428799]
Coordinates of the circumscribed circle: U[14.5; -25.38221770263]
Coordinates of the inscribed circle: I[13.5; 1.88332445857]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.1455075509° = 166°8'42″ = 0.242181405 rad
∠ B' = β' = 164.1177022516° = 164°7'1″ = 0.27772102521 rad
∠ C' = γ' = 29.73879019754° = 29°44'16″ = 2.62325683515 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    