# 26 27 28 triangle

### Acute scalene triangle.

Sides: a = 26   b = 27   c = 28

Area: T = 314.7999043042
Perimeter: p = 81
Semiperimeter: s = 40.5

Angle ∠ A = α = 56.38876254015° = 56°23'15″ = 0.98441497206 rad
Angle ∠ B = β = 59.86435885334° = 59°51'49″ = 1.0454816722 rad
Angle ∠ C = γ = 63.7498786065° = 63°44'56″ = 1.1132626211 rad

Height: ha = 24.21553110032
Height: hb = 23.31884476327
Height: hc = 22.48656459316

Median: ma = 24.23883992871
Median: mb = 23.40440594769
Median: mc = 22.50655548699

Inradius: r = 7.77328158776
Circumradius: R = 15.61099585072

Vertex coordinates: A[28; 0] B[0; 0] C[13.05435714286; 22.48656459316]
Centroid: CG[13.68545238095; 7.49552153105]
Coordinates of the circumscribed circle: U[14; 6.90444047244]
Coordinates of the inscribed circle: I[13.5; 7.77328158776]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 123.6122374598° = 123°36'45″ = 0.98441497206 rad
∠ B' = β' = 120.1366411467° = 120°8'11″ = 1.0454816722 rad
∠ C' = γ' = 116.2511213935° = 116°15'4″ = 1.1132626211 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.