# 10 15 23 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 15   c = 23

Area: T = 54.99109083395
Perimeter: p = 48
Semiperimeter: s = 24

Angle ∠ A = α = 18.59896365026° = 18°35'23″ = 0.32444503637 rad
Angle ∠ B = β = 28.56767204538° = 28°34' = 0.49985833284 rad
Angle ∠ C = γ = 132.8443643044° = 132°50'37″ = 2.31985589615 rad

Height: ha = 10.99881816679
Height: hb = 7.33221211119
Height: hc = 4.78218181165

Median: ma = 18.76216630393
Median: mb = 16.077015868
Median: mc = 5.5

Inradius: r = 2.29112878475
Circumradius: R = 15.68444108607

Vertex coordinates: A[23; 0] B[0; 0] C[8.78326086957; 4.78218181165]
Centroid: CG[10.59442028986; 1.59439393722]
Coordinates of the circumscribed circle: U[11.5; -10.66553993853]
Coordinates of the inscribed circle: I[9; 2.29112878475]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 161.4110363497° = 161°24'37″ = 0.32444503637 rad
∠ B' = β' = 151.4333279546° = 151°26' = 0.49985833284 rad
∠ C' = γ' = 47.15663569564° = 47°9'23″ = 2.31985589615 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.