# 17 22 25 triangle

### Acute scalene triangle.

Sides: a = 17   b = 22   c = 25

Area: T = 183.3033027798
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 41.80218441931° = 41°48'7″ = 0.73295798146 rad
Angle ∠ B = β = 59.61100575507° = 59°36'36″ = 1.04403917716 rad
Angle ∠ C = γ = 78.58880982562° = 78°35'17″ = 1.37216210675 rad

Height: ha = 21.56550620939
Height: hb = 16.6643911618
Height: hc = 14.66442422239

Median: ma = 21.9660191256
Median: mb = 18.33303027798
Median: mc = 15.17439909055

Inradius: r = 5.72882196187
Circumradius: R = 12.75221079607

Vertex coordinates: A[25; 0] B[0; 0] C[8.6; 14.66442422239]
Centroid: CG[11.2; 4.88880807413]
Coordinates of the circumscribed circle: U[12.5; 2.52331443559]
Coordinates of the inscribed circle: I[10; 5.72882196187]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.1988155807° = 138°11'53″ = 0.73295798146 rad
∠ B' = β' = 120.3989942449° = 120°23'24″ = 1.04403917716 rad
∠ C' = γ' = 101.4121901744° = 101°24'43″ = 1.37216210675 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.