# 8 16 17 triangle

### Acute scalene triangle.

Sides: a = 8   b = 16   c = 17

Area: T = 63.52990287979
Perimeter: p = 41
Semiperimeter: s = 20.5

Angle ∠ A = α = 27.84878490371° = 27°50'52″ = 0.48660366553 rad
Angle ∠ B = β = 69.10773811539° = 69°6'27″ = 1.20661513386 rad
Angle ∠ C = γ = 83.0454769809° = 83°2'41″ = 1.44994046597 rad

Height: ha = 15.88222571995
Height: hb = 7.94111285997
Height: hc = 7.4744003388

Median: ma = 16.0165617378
Median: mb = 10.60766017178
Median: mc = 9.36774969976

Inradius: r = 3.09989770145
Circumradius: R = 8.56330145824

Vertex coordinates: A[17; 0] B[0; 0] C[2.85329411765; 7.4744003388]
Centroid: CG[6.61876470588; 2.49113344627]
Coordinates of the circumscribed circle: U[8.5; 1.03769275471]
Coordinates of the inscribed circle: I[4.5; 3.09989770145]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.1522150963° = 152°9'8″ = 0.48660366553 rad
∠ B' = β' = 110.8932618846° = 110°53'33″ = 1.20661513386 rad
∠ C' = γ' = 96.9555230191° = 96°57'19″ = 1.44994046597 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.