# 10 18 23 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 18   c = 23

Area: T = 86.08768021244
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 24.57546375825° = 24°34'29″ = 0.42989083383 rad
Angle ∠ B = β = 48.46875991175° = 48°28'3″ = 0.84659191851 rad
Angle ∠ C = γ = 106.95877633° = 106°57'28″ = 1.86767651302 rad

Height: ha = 17.21773604249
Height: hb = 9.5655200236
Height: hc = 7.48658088804

Median: ma = 20.03774649095
Median: mb = 15.28107067899
Median: mc = 8.93302855497

Inradius: r = 3.37659530245
Circumradius: R = 12.02327488356

Vertex coordinates: A[23; 0] B[0; 0] C[6.63304347826; 7.48658088804]
Centroid: CG[9.87768115942; 2.49552696268]
Coordinates of the circumscribed circle: U[11.5; -3.5076635077]
Coordinates of the inscribed circle: I[7.5; 3.37659530245]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.4255362417° = 155°25'31″ = 0.42989083383 rad
∠ B' = β' = 131.5322400883° = 131°31'57″ = 0.84659191851 rad
∠ C' = γ' = 73.04222367° = 73°2'32″ = 1.86767651302 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.