# 17 23 28 triangle

### Acute scalene triangle.

Sides: a = 17   b = 23   c = 28

Area: T = 195.3155129982
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 37.3421810948° = 37°20'31″ = 0.65217375497 rad
Angle ∠ B = β = 55.1550095421° = 55°9' = 0.96325507479 rad
Angle ∠ C = γ = 87.5088093631° = 87°30'29″ = 1.5277304356 rad

Height: ha = 22.97882505862
Height: hb = 16.98439243463
Height: hc = 13.9511080713

Median: ma = 24.17112639305
Median: mb = 20.10659692629
Median: mc = 14.59545195193

Inradius: r = 5.74545626465
Circumradius: R = 14.01332513044

Vertex coordinates: A[28; 0] B[0; 0] C[9.71442857143; 13.9511080713]
Centroid: CG[12.57114285714; 4.65503602377]
Coordinates of the circumscribed circle: U[14; 0.60992717958]
Coordinates of the inscribed circle: I[11; 5.74545626465]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.6588189052° = 142°39'29″ = 0.65217375497 rad
∠ B' = β' = 124.8549904579° = 124°51' = 0.96325507479 rad
∠ C' = γ' = 92.4921906369° = 92°29'31″ = 1.5277304356 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.