# 17 24 26 triangle

### Acute scalene triangle.

Sides: a = 17   b = 24   c = 26

Area: T = 198.4532607693
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 39.49990963429° = 39°29'57″ = 0.68993892827 rad
Angle ∠ B = β = 63.89332317717° = 63°53'36″ = 1.11551472642 rad
Angle ∠ C = γ = 76.60876718853° = 76°36'28″ = 1.33770561067 rad

Height: ha = 23.34773656109
Height: hb = 16.53877173077
Height: hc = 15.26655852071

Median: ma = 23.53218932515
Median: mb = 18.3988369493
Median: mc = 16.23326830807

Inradius: r = 5.92439584386
Circumradius: R = 13.36333920503

Vertex coordinates: A[26; 0] B[0; 0] C[7.48107692308; 15.26655852071]
Centroid: CG[11.16602564103; 5.08985284024]
Coordinates of the circumscribed circle: U[13; 3.09551974234]
Coordinates of the inscribed circle: I[9.5; 5.92439584386]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 140.5010903657° = 140°30'3″ = 0.68993892827 rad
∠ B' = β' = 116.1076768228° = 116°6'24″ = 1.11551472642 rad
∠ C' = γ' = 103.3922328115° = 103°23'32″ = 1.33770561067 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.