# 17 23 24 triangle

### Acute scalene triangle.

Sides: a = 17   b = 23   c = 24

Area: T = 185.9033200618
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 42.34326054522° = 42°20'33″ = 0.7399017879 rad
Angle ∠ B = β = 65.68442608288° = 65°41'3″ = 1.14664066182 rad
Angle ∠ C = γ = 71.9733133719° = 71°58'23″ = 1.25661681564 rad

Height: ha = 21.87109647786
Height: hb = 16.16554957059
Height: hc = 15.49219333848

Median: ma = 21.91546070008
Median: mb = 17.32877234512
Median: mc = 16.27988205961

Inradius: r = 5.80994750193
Circumradius: R = 12.61994707364

Vertex coordinates: A[24; 0] B[0; 0] C[7; 15.49219333848]
Centroid: CG[10.33333333333; 5.16439777949]
Coordinates of the circumscribed circle: U[12; 3.90552582074]
Coordinates of the inscribed circle: I[9; 5.80994750193]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.6577394548° = 137°39'27″ = 0.7399017879 rad
∠ B' = β' = 114.3165739171° = 114°18'57″ = 1.14664066182 rad
∠ C' = γ' = 108.0276866281° = 108°1'37″ = 1.25661681564 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.