# 17 24 28 triangle

### Acute scalene triangle.

Sides: a = 17   b = 24   c = 28

Area: T = 202.9922456756
Perimeter: p = 69
Semiperimeter: s = 34.5

Angle ∠ A = α = 37.16772854613° = 37°10'2″ = 0.64986915053 rad
Angle ∠ B = β = 58.53295450954° = 58°31'46″ = 1.02215332716 rad
Angle ∠ C = γ = 84.30331694433° = 84°18'11″ = 1.47113678767 rad

Height: ha = 23.88114655008
Height: hb = 16.9166038063
Height: hc = 14.49994611969

Median: ma = 24.65325860712
Median: mb = 19.81216127562
Median: mc = 15.37985564992

Inradius: r = 5.88438393263
Circumradius: R = 14.0699488323

Vertex coordinates: A[28; 0] B[0; 0] C[8.875; 14.49994611969]
Centroid: CG[12.29216666667; 4.83331537323]
Coordinates of the circumscribed circle: U[14; 1.39766036203]
Coordinates of the inscribed circle: I[10.5; 5.88438393263]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.8332714539° = 142°49'58″ = 0.64986915053 rad
∠ B' = β' = 121.4770454905° = 121°28'14″ = 1.02215332716 rad
∠ C' = γ' = 95.69768305567° = 95°41'49″ = 1.47113678767 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.