# 11 24 27 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 24   c = 27

Area: T = 131.7577352736
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 23.99550988682° = 23°59'42″ = 0.41987934796 rad
Angle ∠ B = β = 62.53303003387° = 62°31'49″ = 1.09113596232 rad
Angle ∠ C = γ = 93.47546007931° = 93°28'29″ = 1.63114395508 rad

Height: ha = 23.95658823156
Height: hb = 10.98797793947
Height: hc = 9.76598039064

Median: ma = 24.94549393665
Median: mb = 16.76330546142
Median: mc = 12.89437969582

Inradius: r = 4.2550237185
Circumradius: R = 13.52548618995

Vertex coordinates: A[27; 0] B[0; 0] C[5.07440740741; 9.76598039064]
Centroid: CG[10.69113580247; 3.25332679688]
Coordinates of the circumscribed circle: U[13.5; -0.82196886]
Coordinates of the inscribed circle: I[7; 4.2550237185]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.0054901132° = 156°18″ = 0.41987934796 rad
∠ B' = β' = 117.4769699661° = 117°28'11″ = 1.09113596232 rad
∠ C' = γ' = 86.52553992069° = 86°31'31″ = 1.63114395508 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.