# 10 15 24 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 15   c = 24

Area: T = 41.07884310801
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 13.19219161626° = 13°11'31″ = 0.23302423717 rad
Angle ∠ B = β = 20.01882999855° = 20°1'6″ = 0.34993852454 rad
Angle ∠ C = γ = 146.7989783852° = 146°47'23″ = 2.56219650365 rad

Height: ha = 8.2165686216
Height: hb = 5.4777124144
Height: hc = 3.423320259

Median: ma = 19.37878223751
Median: mb = 16.78554103316
Median: mc = 4.30111626335

Inradius: r = 1.67766706563
Circumradius: R = 21.90993080319

Vertex coordinates: A[24; 0] B[0; 0] C[9.39658333333; 3.423320259]
Centroid: CG[11.13219444444; 1.141106753]
Coordinates of the circumscribed circle: U[12; -18.331078772]
Coordinates of the inscribed circle: I[9.5; 1.67766706563]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.8088083837° = 166°48'29″ = 0.23302423717 rad
∠ B' = β' = 159.9821700014° = 159°58'54″ = 0.34993852454 rad
∠ C' = γ' = 33.21102161481° = 33°12'37″ = 2.56219650365 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.