# 16 23 24 triangle

### Acute scalene triangle.

Sides: a = 16   b = 23   c = 24

Area: T = 176.4255444594
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 39.73438770246° = 39°44'2″ = 0.69334869787 rad
Angle ∠ B = β = 66.76332574659° = 66°45'48″ = 1.16552386621 rad
Angle ∠ C = γ = 73.50328655095° = 73°30'10″ = 1.28328670128 rad

Height: ha = 22.05331805742
Height: hb = 15.34113430081
Height: hc = 14.70221203828

Median: ma = 22.10220361053
Median: mb = 16.84548805279
Median: mc = 15.76438827704

Inradius: r = 5.60108077649
Circumradius: R = 12.51552015634

Vertex coordinates: A[24; 0] B[0; 0] C[6.31325; 14.70221203828]
Centroid: CG[10.10441666667; 4.90107067943]
Coordinates of the circumscribed circle: U[12; 3.55439091396]
Coordinates of the inscribed circle: I[8.5; 5.60108077649]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 140.2666122975° = 140°15'58″ = 0.69334869787 rad
∠ B' = β' = 113.2376742534° = 113°14'12″ = 1.16552386621 rad
∠ C' = γ' = 106.4977134491° = 106°29'50″ = 1.28328670128 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.