# 10 14 17 triangle

### Acute scalene triangle.

Sides: a = 10   b = 14   c = 17

Area: T = 69.9788121581
Perimeter: p = 41
Semiperimeter: s = 20.5

Angle ∠ A = α = 36.01988541926° = 36°1'8″ = 0.62986475985 rad
Angle ∠ B = β = 55.41436895449° = 55°24'49″ = 0.96771513332 rad
Angle ∠ C = γ = 88.56774562624° = 88°34'3″ = 1.54657937219 rad

Height: ha = 13.99656243162
Height: hb = 9.99768745116
Height: hc = 8.2332720186

Median: ma = 14.74878812038
Median: mb = 12.06223380818
Median: mc = 8.70334475928

Inradius: r = 3.41435669064
Circumradius: R = 8.50326574958

Vertex coordinates: A[17; 0] B[0; 0] C[5.67664705882; 8.2332720186]
Centroid: CG[7.55988235294; 2.7444240062]
Coordinates of the circumscribed circle: U[8.5; 0.21325664374]
Coordinates of the inscribed circle: I[6.5; 3.41435669064]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.9811145807° = 143°58'52″ = 0.62986475985 rad
∠ B' = β' = 124.5866310455° = 124°35'11″ = 0.96771513332 rad
∠ C' = γ' = 91.43325437376° = 91°25'57″ = 1.54657937219 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.