# 16 17 24 triangle

### Obtuse scalene triangle.

Sides: a = 16   b = 17   c = 24

Area: T = 135.7799002427
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 41.72770936215° = 41°43'38″ = 0.7288275171 rad
Angle ∠ B = β = 45.00661198495° = 45°22″ = 0.78655049749 rad
Angle ∠ C = γ = 93.2676786529° = 93°16' = 1.62878125077 rad

Height: ha = 16.97223753033
Height: hb = 15.97440002855
Height: hc = 11.31549168689

Median: ma = 19.19663538205
Median: mb = 18.54404962177
Median: mc = 11.33657840488

Inradius: r = 4.76441755237
Circumradius: R = 12.02195315243

Vertex coordinates: A[24; 0] B[0; 0] C[11.31325; 11.31549168689]
Centroid: CG[11.77108333333; 3.77216389563]
Coordinates of the circumscribed circle: U[12; -0.68549365391]
Coordinates of the inscribed circle: I[11.5; 4.76441755237]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.2732906379° = 138°16'22″ = 0.7288275171 rad
∠ B' = β' = 134.994388015° = 134°59'38″ = 0.78655049749 rad
∠ C' = γ' = 86.7333213471° = 86°44' = 1.62878125077 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.