# 22 23 26 triangle

### Acute scalene triangle.

Sides: a = 22   b = 23   c = 26

Area: T = 238.5660133928
Perimeter: p = 71
Semiperimeter: s = 35.5

Angle ∠ A = α = 52.92662286621° = 52°55'34″ = 0.92437369508 rad
Angle ∠ B = β = 56.52549762939° = 56°31'30″ = 0.98765469459 rad
Angle ∠ C = γ = 70.5498795044° = 70°32'56″ = 1.23113087568 rad

Height: ha = 21.68772849026
Height: hb = 20.7444359472
Height: hc = 18.3510779533

Median: ma = 21.94331082575
Median: mb = 21.16601039695
Median: mc = 18.37111730709

Inradius: r = 6.72200037726
Circumradius: R = 13.78768802546

Vertex coordinates: A[26; 0] B[0; 0] C[12.13546153846; 18.3510779533]
Centroid: CG[12.71215384615; 6.1176926511]
Coordinates of the circumscribed circle: U[13; 4.59110856184]
Coordinates of the inscribed circle: I[12.5; 6.72200037726]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 127.0743771338° = 127°4'26″ = 0.92437369508 rad
∠ B' = β' = 123.4755023706° = 123°28'30″ = 0.98765469459 rad
∠ C' = γ' = 109.4511204956° = 109°27'4″ = 1.23113087568 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.