# 17 25 26 triangle

### Acute scalene triangle.

Sides: a = 17   b = 25   c = 26

Area: T = 204
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 38.88800696564° = 38°52'48″ = 0.67985852289 rad
Angle ∠ B = β = 67.3880135052° = 67°22'49″ = 1.17660052071 rad
Angle ∠ C = γ = 73.74397952917° = 73°44'23″ = 1.28770022176 rad

Height: ha = 24
Height: hb = 16.32
Height: hc = 15.69223076923

Median: ma = 24.04768293128
Median: mb = 18.06223918682
Median: mc = 16.97105627485

Inradius: r = 6
Circumradius: R = 13.54216666667

Vertex coordinates: A[26; 0] B[0; 0] C[6.53884615385; 15.69223076923]
Centroid: CG[10.84661538462; 5.23107692308]
Coordinates of the circumscribed circle: U[13; 3.79216666667]
Coordinates of the inscribed circle: I[9; 6]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.1219930344° = 141°7'12″ = 0.67985852289 rad
∠ B' = β' = 112.6219864948° = 112°37'11″ = 1.17660052071 rad
∠ C' = γ' = 106.2660204708° = 106°15'37″ = 1.28770022176 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.