# 15 16 17 triangle

### Acute scalene triangle.

Sides: a = 15   b = 16   c = 17

Area: T = 109.9821816679
Perimeter: p = 48
Semiperimeter: s = 24

Angle ∠ A = α = 53.96881209275° = 53°58'5″ = 0.94219214013 rad
Angle ∠ B = β = 59.61100575507° = 59°36'36″ = 1.04403917716 rad
Angle ∠ C = γ = 66.42218215218° = 66°25'19″ = 1.15992794807 rad

Height: ha = 14.66442422239
Height: hb = 13.74877270849
Height: hc = 12.93990372563

Median: ma = 14.70554411699
Median: mb = 13.89224439894
Median: mc = 12.97111217711

Inradius: r = 4.5832575695
Circumradius: R = 9.2744260335

Vertex coordinates: A[17; 0] B[0; 0] C[7.58882352941; 12.93990372563]
Centroid: CG[8.19660784314; 4.31330124188]
Coordinates of the circumscribed circle: U[8.5; 3.7109704134]
Coordinates of the inscribed circle: I[8; 4.5832575695]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 126.0321879072° = 126°1'55″ = 0.94219214013 rad
∠ B' = β' = 120.3989942449° = 120°23'24″ = 1.04403917716 rad
∠ C' = γ' = 113.5788178478° = 113°34'41″ = 1.15992794807 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.