# 14 22 24 triangle

### Acute scalene triangle.

Sides: a = 14   b = 22   c = 24

Area: T = 151.7899327688
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 35.09768012276° = 35°5'48″ = 0.61325547383 rad
Angle ∠ B = β = 64.62330664748° = 64°37'23″ = 1.12878852827 rad
Angle ∠ C = γ = 80.28801322976° = 80°16'48″ = 1.40111526325 rad

Height: ha = 21.68441896697
Height: hb = 13.79990297898
Height: hc = 12.64991106407

Median: ma = 21.93217121995
Median: mb = 16.27988205961
Median: mc = 14

Inradius: r = 5.06596442563
Circumradius: R = 12.17547689916

Vertex coordinates: A[24; 0] B[0; 0] C[6; 12.64991106407]
Centroid: CG[10; 4.21663702136]
Coordinates of the circumscribed circle: U[12; 2.05554804791]
Coordinates of the inscribed circle: I[8; 5.06596442563]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.9033198772° = 144°54'12″ = 0.61325547383 rad
∠ B' = β' = 115.3776933525° = 115°22'37″ = 1.12878852827 rad
∠ C' = γ' = 99.72198677024° = 99°43'12″ = 1.40111526325 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.