# 16 24 26 triangle

### Acute scalene triangle.

Sides: a = 16   b = 24   c = 26

Area: T = 187.9977340407
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 37.05331475504° = 37°3'11″ = 0.6476699423 rad
Angle ∠ B = β = 64.66766127554° = 64°40' = 1.12986453087 rad
Angle ∠ C = γ = 78.28802396942° = 78°16'49″ = 1.36662479219 rad

Height: ha = 23.54996675508
Height: hb = 15.66664450339
Height: hc = 14.46113338774

Median: ma = 23.70765391823
Median: mb = 17.94443584449
Median: mc = 15.71662336455

Inradius: r = 5.69768891032
Circumradius: R = 13.27767835683

Vertex coordinates: A[26; 0] B[0; 0] C[6.84661538462; 14.46113338774]
Centroid: CG[10.94987179487; 4.82204446258]
Coordinates of the circumscribed circle: U[13; 2.69768466623]
Coordinates of the inscribed circle: I[9; 5.69768891032]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.947685245° = 142°56'49″ = 0.6476699423 rad
∠ B' = β' = 115.3333387245° = 115°20' = 1.12986453087 rad
∠ C' = γ' = 101.7219760306° = 101°43'11″ = 1.36662479219 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.