# 14 23 26 triangle

### Acute scalene triangle.

Sides: a = 14   b = 23   c = 26

Area: T = 160.533329094
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 32.47329000805° = 32°28'22″ = 0.56767590241 rad
Angle ∠ B = β = 61.89107787174° = 61°53'27″ = 1.08801978652 rad
Angle ∠ C = γ = 85.63663212021° = 85°38'11″ = 1.49546357643 rad

Height: ha = 22.93333272771
Height: hb = 13.95994166035
Height: hc = 12.34987146877

Median: ma = 23.5276580712
Median: mb = 17.42884250579
Median: mc = 13.91104277432

Inradius: r = 5.09662949505
Circumradius: R = 13.03877941407

Vertex coordinates: A[26; 0] B[0; 0] C[6.59661538462; 12.34987146877]
Centroid: CG[10.86553846154; 4.11662382292]
Coordinates of the circumscribed circle: U[13; 0.99220060759]
Coordinates of the inscribed circle: I[8.5; 5.09662949505]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.5277099919° = 147°31'38″ = 0.56767590241 rad
∠ B' = β' = 118.1099221283° = 118°6'33″ = 1.08801978652 rad
∠ C' = γ' = 94.36436787979° = 94°21'49″ = 1.49546357643 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.