# 10 15 17 triangle

### Acute scalene triangle.

Sides: a = 10   b = 15   c = 17

Area: T = 74.45880418759
Perimeter: p = 42
Semiperimeter: s = 21

Angle ∠ A = α = 35.731129198° = 35°43'53″ = 0.6243628691 rad
Angle ∠ B = β = 61.16108105994° = 61°9'39″ = 1.06774575181 rad
Angle ∠ C = γ = 83.10878974207° = 83°6'28″ = 1.45105064444 rad

Height: ha = 14.89216083752
Height: hb = 9.92877389168
Height: hc = 8.76597696325

Median: ma = 15.23215462117
Median: mb = 11.75879760163
Median: mc = 9.5

Inradius: r = 3.54656210417
Circumradius: R = 8.56218689928

Vertex coordinates: A[17; 0] B[0; 0] C[4.82435294118; 8.76597696325]
Centroid: CG[7.27545098039; 2.92199232108]
Coordinates of the circumscribed circle: U[8.5; 1.02774242791]
Coordinates of the inscribed circle: I[6; 3.54656210417]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.269870802° = 144°16'7″ = 0.6243628691 rad
∠ B' = β' = 118.8399189401° = 118°50'21″ = 1.06774575181 rad
∠ C' = γ' = 96.89221025793° = 96°53'32″ = 1.45105064444 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.