# 11 16 24 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 16   c = 24

Area: T = 72.58774472619
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 22.21435428093° = 22°12'49″ = 0.38876994606 rad
Angle ∠ B = β = 33.36604891971° = 33°21'38″ = 0.58222503766 rad
Angle ∠ C = γ = 124.4265967994° = 124°25'33″ = 2.17216428165 rad

Height: ha = 13.1987717684
Height: hb = 9.07334309077
Height: hc = 6.04989539385

Median: ma = 19.64105193414
Median: mb = 16.86771277934
Median: mc = 6.67108320321

Inradius: r = 2.84765665593
Circumradius: R = 14.54879699292

Vertex coordinates: A[24; 0] B[0; 0] C[9.18875; 6.04989539385]
Centroid: CG[11.06325; 2.01663179795]
Coordinates of the circumscribed circle: U[12; -8.22545625452]
Coordinates of the inscribed circle: I[9.5; 2.84765665593]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.7866457191° = 157°47'11″ = 0.38876994606 rad
∠ B' = β' = 146.6439510803° = 146°38'22″ = 0.58222503766 rad
∠ C' = γ' = 55.57440320065° = 55°34'27″ = 2.17216428165 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.