# 14 21 24 triangle

### Acute scalene triangle.

Sides: a = 14   b = 21   c = 24

Area: T = 146.2076831236
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 35.46436145718° = 35°27'49″ = 0.61989568389 rad
Angle ∠ B = β = 60.49110490724° = 60°29'28″ = 1.05657679743 rad
Angle ∠ C = γ = 84.04553363559° = 84°2'43″ = 1.46768678404 rad

Height: ha = 20.88766901765
Height: hb = 13.92444601177
Height: hc = 12.1843902603

Median: ma = 21.43659511102
Median: mb = 16.60657219054
Median: mc = 13.21098448136

Inradius: r = 4.95661637707
Circumradius: R = 12.06550997295

Vertex coordinates: A[24; 0] B[0; 0] C[6.89658333333; 12.1843902603]
Centroid: CG[10.29986111111; 4.06113008677]
Coordinates of the circumscribed circle: U[12; 1.25216515026]
Coordinates of the inscribed circle: I[8.5; 4.95661637707]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.5366385428° = 144°32'11″ = 0.61989568389 rad
∠ B' = β' = 119.5098950928° = 119°30'32″ = 1.05657679743 rad
∠ C' = γ' = 95.95546636441° = 95°57'17″ = 1.46768678404 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.