# 6 21 24 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 21   c = 24

Area: T = 57.93547693531
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 13.2911177243° = 13°17'28″ = 0.23219748044 rad
Angle ∠ B = β = 53.57664263577° = 53°34'35″ = 0.93550850414 rad
Angle ∠ C = γ = 113.1322396399° = 113°7'57″ = 1.97545328078 rad

Height: ha = 19.31215897844
Height: hb = 5.51875970813
Height: hc = 4.82878974461

Median: ma = 22.34994966386
Median: mb = 13.99110685796
Median: mc = 9.72111110476

Inradius: r = 2.27219517393
Circumradius: R = 13.0499158708

Vertex coordinates: A[24; 0] B[0; 0] C[3.56325; 4.82878974461]
Centroid: CG[9.18875; 1.60992991487]
Coordinates of the circumscribed circle: U[12; -5.12664552067]
Coordinates of the inscribed circle: I[4.5; 2.27219517393]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.7098822757° = 166°42'32″ = 0.23219748044 rad
∠ B' = β' = 126.4243573642° = 126°25'25″ = 0.93550850414 rad
∠ C' = γ' = 66.86876036007° = 66°52'3″ = 1.97545328078 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.