# 9 17 24 triangle

### Obtuse scalene triangle.

Sides: a = 9   b = 17   c = 24

Area: T = 56.56985424949
Perimeter: p = 50
Semiperimeter: s = 25

Angle ∠ A = α = 16.09989339511° = 16°5'56″ = 0.28109794035 rad
Angle ∠ B = β = 31.58663380965° = 31°35'11″ = 0.55112855984 rad
Angle ∠ C = γ = 132.3154727952° = 132°18'53″ = 2.30993276517 rad

Height: ha = 12.57107872211
Height: hb = 6.65551226465
Height: hc = 4.71440452079

Median: ma = 20.30439405042
Median: mb = 16.00878105936
Median: mc = 6.40331242374

Inradius: r = 2.26327416998
Circumradius: R = 16.22881006282

Vertex coordinates: A[24; 0] B[0; 0] C[7.66766666667; 4.71440452079]
Centroid: CG[10.55655555556; 1.57113484026]
Coordinates of the circumscribed circle: U[12; -10.92547997693]
Coordinates of the inscribed circle: I[8; 2.26327416998]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 163.9011066049° = 163°54'4″ = 0.28109794035 rad
∠ B' = β' = 148.4143661903° = 148°24'49″ = 0.55112855984 rad
∠ C' = γ' = 47.68552720476° = 47°41'7″ = 2.30993276517 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.