# 10 20 24 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 20   c = 24

Area: T = 98.17884090317
Perimeter: p = 54
Semiperimeter: s = 27

Angle ∠ A = α = 24.14768479965° = 24°8'49″ = 0.42114420015 rad
Angle ∠ B = β = 54.99003678046° = 54°54'1″ = 0.95881921787 rad
Angle ∠ C = γ = 100.9532784199° = 100°57'10″ = 1.76219584733 rad

Height: ha = 19.63656818063
Height: hb = 9.81878409032
Height: hc = 8.1821534086

Median: ma = 21.51774347914
Median: mb = 15.42772486205
Median: mc = 10.2965630141

Inradius: r = 3.63662373715
Circumradius: R = 12.2232646627

Vertex coordinates: A[24; 0] B[0; 0] C[5.75; 8.1821534086]
Centroid: CG[9.91766666667; 2.72771780287]
Coordinates of the circumscribed circle: U[12; -2.32223028591]
Coordinates of the inscribed circle: I[7; 3.63662373715]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.8533152003° = 155°51'11″ = 0.42114420015 rad
∠ B' = β' = 125.1099632195° = 125°5'59″ = 0.95881921787 rad
∠ C' = γ' = 79.04772158011° = 79°2'50″ = 1.76219584733 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.