# 11 23 24 triangle

### Acute scalene triangle.

Sides: a = 11   b = 23   c = 24

Area: T = 125.1439921688
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 26.96223889975° = 26°57'45″ = 0.47105824622 rad
Angle ∠ B = β = 71.4476995465° = 71°26'49″ = 1.24769853115 rad
Angle ∠ C = γ = 81.59106155375° = 81°35'26″ = 1.42440248799 rad

Height: ha = 22.75327130341
Height: hb = 10.88217323207
Height: hc = 10.42883268073

Median: ma = 22.85327897641
Median: mb = 14.70554411699
Median: mc = 13.45436240471

Inradius: r = 4.31551697134
Circumradius: R = 12.13304215276

Vertex coordinates: A[24; 0] B[0; 0] C[3.5; 10.42883268073]
Centroid: CG[9.16766666667; 3.47661089358]
Coordinates of the circumscribed circle: U[12; 1.77440142155]
Coordinates of the inscribed circle: I[6; 4.31551697134]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.0387611003° = 153°2'15″ = 0.47105824622 rad
∠ B' = β' = 108.5533004535° = 108°33'11″ = 1.24769853115 rad
∠ C' = γ' = 98.40993844625° = 98°24'34″ = 1.42440248799 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.