# 17 23 26 triangle

### Acute scalene triangle.

Sides: a = 17   b = 23   c = 26

Area: T = 192.2549837451
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 40.01440953467° = 40°51″ = 0.6988377711 rad
Angle ∠ B = β = 60.44880393396° = 60°26'53″ = 1.05550173129 rad
Angle ∠ C = γ = 79.53878653137° = 79°32'16″ = 1.38881976297 rad

Height: ha = 22.61876279354
Height: hb = 16.71773771697
Height: hc = 14.78884490347

Median: ma = 23.02771578793
Median: mb = 18.71549672722
Median: mc = 15.49219333848

Inradius: r = 5.826575265
Circumradius: R = 13.22197771072

Vertex coordinates: A[26; 0] B[0; 0] C[8.38546153846; 14.78884490347]
Centroid: CG[11.46215384615; 4.92994830116]
Coordinates of the circumscribed circle: U[13; 2.40105221857]
Coordinates of the inscribed circle: I[10; 5.826575265]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.9865904653° = 139°59'9″ = 0.6988377711 rad
∠ B' = β' = 119.552196066° = 119°33'7″ = 1.05550173129 rad
∠ C' = γ' = 100.4622134686° = 100°27'44″ = 1.38881976297 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.