# 16 23 26 triangle

### Acute scalene triangle.

Sides: a = 16   b = 23   c = 26

Area: T = 181.9710979829
Perimeter: p = 65
Semiperimeter: s = 32.5

Angle ∠ A = α = 37.48882410762° = 37°29'18″ = 0.65442932376 rad
Angle ∠ B = β = 61.02884677763° = 61°1'42″ = 1.06551477001 rad
Angle ∠ C = γ = 81.48332911475° = 81°29' = 1.42221517159 rad

Height: ha = 22.74663724787
Height: hb = 15.82435634634
Height: hc = 13.99877676792

Median: ma = 23.20656027717
Median: mb = 18.26988259064
Median: mc = 14.95499163877

Inradius: r = 5.59991070717
Circumradius: R = 13.14549531252

Vertex coordinates: A[26; 0] B[0; 0] C[7.75; 13.99877676792]
Centroid: CG[11.25; 4.66659225597]
Coordinates of the circumscribed circle: U[13; 1.94767389819]
Coordinates of the inscribed circle: I[9.5; 5.59991070717]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.5121758924° = 142°30'42″ = 0.65442932376 rad
∠ B' = β' = 118.9721532224° = 118°58'18″ = 1.06551477001 rad
∠ C' = γ' = 98.51767088525° = 98°31' = 1.42221517159 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.