# 11 21 24 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 21   c = 24

Area: T = 115.4476957517
Perimeter: p = 56
Semiperimeter: s = 28

Angle ∠ A = α = 27.26660444507° = 27°15'58″ = 0.47658822497 rad
Angle ∠ B = β = 60.99774539733° = 60°59'51″ = 1.06546064072 rad
Angle ∠ C = γ = 91.73765015759° = 91°44'11″ = 1.60111039968 rad

Height: ha = 20.99903559122
Height: hb = 10.9954948335
Height: hc = 9.62105797931

Median: ma = 21.86989277286
Median: mb = 15.43553490404
Median: mc = 11.70546999107

Inradius: r = 4.12331056256
Circumradius: R = 12.00655134393

Vertex coordinates: A[24; 0] B[0; 0] C[5.33333333333; 9.62105797931]
Centroid: CG[9.77877777778; 3.2076859931]
Coordinates of the circumscribed circle: U[12; -0.36438034376]
Coordinates of the inscribed circle: I[7; 4.12331056256]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.7343955549° = 152°44'2″ = 0.47658822497 rad
∠ B' = β' = 119.0032546027° = 119°9″ = 1.06546064072 rad
∠ C' = γ' = 88.26334984241° = 88°15'49″ = 1.60111039968 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.