# 17 23 25 triangle

### Acute scalene triangle.

Sides: a = 17   b = 23   c = 25

Area: T = 189.4522335694
Perimeter: p = 65
Semiperimeter: s = 32.5

Angle ∠ A = α = 41.22109585277° = 41°13'15″ = 0.71994414471 rad
Angle ∠ B = β = 63.06774560504° = 63°4'3″ = 1.10107347589 rad
Angle ∠ C = γ = 75.71215854218° = 75°42'42″ = 1.32114164475 rad

Height: ha = 22.28985100817
Height: hb = 16.47441161473
Height: hc = 15.15661868555

Median: ma = 22.46766419387
Median: mb = 18.02108212909
Median: mc = 15.89881130956

Inradius: r = 5.82993026367
Circumradius: R = 12.89990228125

Vertex coordinates: A[25; 0] B[0; 0] C[7.7; 15.15661868555]
Centroid: CG[10.9; 5.05220622852]
Coordinates of the circumscribed circle: U[12.5; 3.18435184179]
Coordinates of the inscribed circle: I[9.5; 5.82993026367]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.7799041472° = 138°46'45″ = 0.71994414471 rad
∠ B' = β' = 116.933254395° = 116°55'57″ = 1.10107347589 rad
∠ C' = γ' = 104.2888414578° = 104°17'18″ = 1.32114164475 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.