# 7 22 24 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 22   c = 24

Area: T = 76.24659015292
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 16.78767398169° = 16°47'12″ = 0.29329838805 rad
Angle ∠ B = β = 65.18879583752° = 65°11'17″ = 1.13877445063 rad
Angle ∠ C = γ = 98.02553018079° = 98°1'31″ = 1.71108642668 rad

Height: ha = 21.78545432941
Height: hb = 6.93114455936
Height: hc = 6.35438251274

Median: ma = 22.7544120506
Median: mb = 13.83883525031
Median: mc = 11.06879718106

Inradius: r = 2.87772038313
Circumradius: R = 12.11986841715

Vertex coordinates: A[24; 0] B[0; 0] C[2.93875; 6.35438251274]
Centroid: CG[8.97991666667; 2.11879417091]
Coordinates of the circumscribed circle: U[12; -1.69218942187]
Coordinates of the inscribed circle: I[4.5; 2.87772038313]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 163.2133260183° = 163°12'48″ = 0.29329838805 rad
∠ B' = β' = 114.8122041625° = 114°48'43″ = 1.13877445063 rad
∠ C' = γ' = 81.97546981921° = 81°58'29″ = 1.71108642668 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.