# 10 18 24 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 18   c = 24

Area: T = 81.58443122175
Perimeter: p = 52
Semiperimeter: s = 26

Angle ∠ A = α = 22.19216065663° = 22°11'30″ = 0.38773166009 rad
Angle ∠ B = β = 42.83334280661° = 42°50' = 0.74875843497 rad
Angle ∠ C = γ = 114.9754965368° = 114°58'30″ = 2.0076691703 rad

Height: ha = 16.31768624435
Height: hb = 9.06549235797
Height: hc = 6.79986926848

Median: ma = 20.61655281281
Median: mb = 16.03112195419
Median: mc = 8.24662112512

Inradius: r = 3.13878581622
Circumradius: R = 13.23878391218

Vertex coordinates: A[24; 0] B[0; 0] C[7.33333333333; 6.79986926848]
Centroid: CG[10.44444444444; 2.26662308949]
Coordinates of the circumscribed circle: U[12; -5.58993098514]
Coordinates of the inscribed circle: I[8; 3.13878581622]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.8088393434° = 157°48'30″ = 0.38773166009 rad
∠ B' = β' = 137.1676571934° = 137°10' = 0.74875843497 rad
∠ C' = γ' = 65.02550346323° = 65°1'30″ = 2.0076691703 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.