# 5 21 24 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 21   c = 24

Area: T = 44.721135955
Perimeter: p = 50
Semiperimeter: s = 25

Angle ∠ A = α = 10.22221793906° = 10°13'20″ = 0.17884106871 rad
Angle ∠ B = β = 48.19896851042° = 48°11'23″ = 0.84110686706 rad
Angle ∠ C = γ = 121.5888135505° = 121°35'17″ = 2.12221132959 rad

Height: ha = 17.889854382
Height: hb = 4.25991771
Height: hc = 3.72767799625

Median: ma = 22.4110934831
Median: mb = 13.79331142241
Median: mc = 9.43439811321

Inradius: r = 1.7898854382
Circumradius: R = 14.08772282582

Vertex coordinates: A[24; 0] B[0; 0] C[3.33333333333; 3.72767799625]
Centroid: CG[9.11111111111; 1.24222599875]
Coordinates of the circumscribed circle: U[12; -7.37990243257]
Coordinates of the inscribed circle: I[4; 1.7898854382]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 169.7787820609° = 169°46'40″ = 0.17884106871 rad
∠ B' = β' = 131.8110314896° = 131°48'37″ = 0.84110686706 rad
∠ C' = γ' = 58.41218644948° = 58°24'43″ = 2.12221132959 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.