# 18 24 26 triangle

### Acute scalene triangle.

Sides: a = 18   b = 24   c = 26

Area: T = 208.6144476967
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 41.96218888284° = 41°57'43″ = 0.73223731204 rad
Angle ∠ B = β = 63.06442249308° = 63°3'51″ = 1.10106783653 rad
Angle ∠ C = γ = 74.97438862409° = 74°58'26″ = 1.30985411679 rad

Height: ha = 23.17993863296
Height: hb = 17.38545397472
Height: hc = 16.0477267459

Median: ma = 23.34552350599
Median: mb = 18.86879622641
Median: mc = 16.76330546142

Inradius: r = 6.13657199108
Circumradius: R = 13.46602355543

Vertex coordinates: A[26; 0] B[0; 0] C[8.15438461538; 16.0477267459]
Centroid: CG[11.38546153846; 5.3499089153]
Coordinates of the circumscribed circle: U[13; 3.49896906993]
Coordinates of the inscribed circle: I[10; 6.13657199108]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.0388111172° = 138°2'17″ = 0.73223731204 rad
∠ B' = β' = 116.9365775069° = 116°56'9″ = 1.10106783653 rad
∠ C' = γ' = 105.0266113759° = 105°1'34″ = 1.30985411679 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.