# 23 25 26 triangle

### Acute scalene triangle.

Sides: a = 23   b = 25   c = 26

Area: T = 261.488804944
Perimeter: p = 74
Semiperimeter: s = 37

Angle ∠ A = α = 53.57695793367° = 53°34'10″ = 0.93549655383 rad
Angle ∠ B = β = 60.99108143584° = 60°59'27″ = 1.0644490524 rad
Angle ∠ C = γ = 65.44396063049° = 65°26'23″ = 1.14221365912 rad

Height: ha = 22.73880912557
Height: hb = 20.91990439552
Height: hc = 20.11444653415

Median: ma = 22.76551048757
Median: mb = 21.12546301743
Median: mc = 20.19990098767

Inradius: r = 7.06772445795
Circumradius: R = 14.29331962206

Vertex coordinates: A[26; 0] B[0; 0] C[11.15438461538; 20.11444653415]
Centroid: CG[12.38546153846; 6.70548217805]
Coordinates of the circumscribed circle: U[13; 5.94109980813]
Coordinates of the inscribed circle: I[12; 7.06772445795]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 126.4330420663° = 126°25'50″ = 0.93549655383 rad
∠ B' = β' = 119.0099185642° = 119°33″ = 1.0644490524 rad
∠ C' = γ' = 114.5660393695° = 114°33'37″ = 1.14221365912 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.