# 10 13 17 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 13   c = 17

Area: T = 64.80774069841
Perimeter: p = 40
Semiperimeter: s = 20

Angle ∠ A = α = 35.90884892842° = 35°54'31″ = 0.62767213674 rad
Angle ∠ B = β = 49.687978493° = 49°40'47″ = 0.86770758187 rad
Angle ∠ C = γ = 94.41217257858° = 94°24'42″ = 1.64877954675 rad

Height: ha = 12.96114813968
Height: hb = 9.97703703052
Height: hc = 7.62444008217

Median: ma = 14.28328568571
Median: mb = 12.33989626793
Median: mc = 7.8989866919

Inradius: r = 3.24403703492
Circumradius: R = 8.52552600854

Vertex coordinates: A[17; 0] B[0; 0] C[6.47105882353; 7.62444008217]
Centroid: CG[7.82435294118; 2.54114669406]
Coordinates of the circumscribed circle: U[8.5; -0.65657892373]
Coordinates of the inscribed circle: I[7; 3.24403703492]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.0921510716° = 144°5'29″ = 0.62767213674 rad
∠ B' = β' = 130.322021507° = 130°19'13″ = 0.86770758187 rad
∠ C' = γ' = 85.58882742142° = 85°35'18″ = 1.64877954675 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.