# 4 21 24 triangle

### Obtuse scalene triangle.

Sides: a = 4   b = 21   c = 24

Area: T = 29.64768801057
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 6.75662861124° = 6°45'23″ = 0.11879194379 rad
Angle ∠ B = β = 38.14442418483° = 38°8'39″ = 0.66657426109 rad
Angle ∠ C = γ = 135.0999472039° = 135°5'58″ = 2.35879306048 rad

Height: ha = 14.82334400528
Height: hb = 2.8243512391
Height: hc = 2.47105733421

Median: ma = 22.46110774452
Median: mb = 13.62990131704
Median: mc = 9.19223881554

Inradius: r = 1.2110076739
Circumradius: R = 177.0001024797

Vertex coordinates: A[24; 0] B[0; 0] C[3.14658333333; 2.47105733421]
Centroid: CG[9.04986111111; 0.82435244474]
Coordinates of the circumscribed circle: U[12; -12.04217392565]
Coordinates of the inscribed circle: I[3.5; 1.2110076739]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 173.2443713888° = 173°14'37″ = 0.11879194379 rad
∠ B' = β' = 141.8565758152° = 141°51'21″ = 0.66657426109 rad
∠ C' = γ' = 44.90105279607° = 44°54'2″ = 2.35879306048 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.