# 15 23 24 triangle

### Acute scalene triangle.

Sides: a = 15   b = 23   c = 24

Area: T = 166.6611333248
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 37.14658041715° = 37°8'45″ = 0.64883165861 rad
Angle ∠ B = β = 67.80438991432° = 67°48'14″ = 1.18334012857 rad
Angle ∠ C = γ = 75.05502966853° = 75°3'1″ = 1.31098747818 rad

Height: ha = 22.22215110997
Height: hb = 14.49222898477
Height: hc = 13.88884444373

Median: ma = 22.27766694099
Median: mb = 16.37883393542
Median: mc = 15.26443375225

Inradius: r = 5.37661720403
Circumradius: R = 12.42203974591

Vertex coordinates: A[24; 0] B[0; 0] C[5.66766666667; 13.88884444373]
Centroid: CG[9.88988888889; 4.62994814791]
Coordinates of the circumscribed circle: U[12; 3.20441025329]
Coordinates of the inscribed circle: I[8; 5.37661720403]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.8544195828° = 142°51'15″ = 0.64883165861 rad
∠ B' = β' = 112.1966100857° = 112°11'46″ = 1.18334012857 rad
∠ C' = γ' = 104.9549703315° = 104°56'59″ = 1.31098747818 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.