# 8 23 24 triangle

### Acute scalene triangle.

Sides: a = 8   b = 23   c = 24

Area: T = 91.90217818108
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 19.45495958011° = 19°26'59″ = 0.33994594849 rad
Angle ∠ B = β = 73.19881624066° = 73°11'53″ = 1.27875489404 rad
Angle ∠ C = γ = 87.35222417923° = 87°21'8″ = 1.52545842283 rad

Height: ha = 22.97554454527
Height: hb = 7.99114592879
Height: hc = 7.65884818176

Median: ma = 23.16224696438
Median: mb = 13.7022189606
Median: mc = 12.34990890352

Inradius: r = 3.34218829749
Circumradius: R = 12.01328247597

Vertex coordinates: A[24; 0] B[0; 0] C[2.31325; 7.65884818176]
Centroid: CG[8.77108333333; 2.55328272725]
Coordinates of the circumscribed circle: U[12; 0.55549402742]
Coordinates of the inscribed circle: I[4.5; 3.34218829749]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160.5550404199° = 160°33'1″ = 0.33994594849 rad
∠ B' = β' = 106.8021837593° = 106°48'7″ = 1.27875489404 rad
∠ C' = γ' = 92.64877582077° = 92°38'52″ = 1.52545842283 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.