# 14 18 23 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 18   c = 23

Area: T = 125.9879909112
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 37.48882410762° = 37°29'18″ = 0.65442932376 rad
Angle ∠ B = β = 51.48985656201° = 51°29'19″ = 0.89986449972 rad
Angle ∠ C = γ = 91.02331933037° = 91°1'23″ = 1.58986544188 rad

Height: ha = 17.99771298732
Height: hb = 13.99877676792
Height: hc = 10.95547747054

Median: ma = 19.42993592277
Median: mb = 16.77879617356
Median: mc = 11.30326545555

Inradius: r = 4.58110876041
Circumradius: R = 11.50218339845

Vertex coordinates: A[23; 0] B[0; 0] C[8.71773913043; 10.95547747054]
Centroid: CG[10.57224637681; 3.65215915685]
Coordinates of the circumscribed circle: U[11.5; -0.20553898926]
Coordinates of the inscribed circle: I[9.5; 4.58110876041]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.5121758924° = 142°30'42″ = 0.65442932376 rad
∠ B' = β' = 128.511143438° = 128°30'41″ = 0.89986449972 rad
∠ C' = γ' = 88.97768066963° = 88°58'37″ = 1.58986544188 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 ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.