# 10 21 24 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 21   c = 24

Area: T = 104.6354781502
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 24.5333007117° = 24°31'59″ = 0.42881817496 rad
Angle ∠ B = β = 60.68768010358° = 60°41'12″ = 1.05991844906 rad
Angle ∠ C = γ = 94.78801918472° = 94°46'49″ = 1.65442264134 rad

Height: ha = 20.92769563004
Height: hb = 9.96552172859
Height: hc = 8.72195651252

Median: ma = 21.98986334273
Median: mb = 15.09113882728
Median: mc = 11.24772218792

Inradius: r = 3.80549011455
Circumradius: R = 12.04218849441

Vertex coordinates: A[24; 0] B[0; 0] C[4.89658333333; 8.72195651252]
Centroid: CG[9.63219444444; 2.90765217084]
Coordinates of the circumscribed circle: U[12; -1.0033490412]
Coordinates of the inscribed circle: I[6.5; 3.80549011455]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.4676992883° = 155°28'1″ = 0.42881817496 rad
∠ B' = β' = 119.3133198964° = 119°18'48″ = 1.05991844906 rad
∠ C' = γ' = 85.22198081528° = 85°13'11″ = 1.65442264134 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.