# 8 17 24 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 17   c = 24

Area: T = 38.93550420573
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 11.00328632015° = 11°10″ = 0.192203619 rad
Angle ∠ B = β = 23.92770614889° = 23°55'37″ = 0.41876060033 rad
Angle ∠ C = γ = 145.077007531° = 145°4'12″ = 2.53219504603 rad

Height: ha = 9.73437605143
Height: hb = 4.58105931832
Height: hc = 3.24545868381

Median: ma = 20.4088331632
Median: mb = 15.74400762387
Median: mc = 5.70108771255

Inradius: r = 1.58991853901
Circumradius: R = 20.9587984296

Vertex coordinates: A[24; 0] B[0; 0] C[7.31325; 3.24545868381]
Centroid: CG[10.43875; 1.0821528946]
Coordinates of the circumscribed circle: U[12; -17.18224650662]
Coordinates of the inscribed circle: I[7.5; 1.58991853901]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 168.9977136798° = 168°59'50″ = 0.192203619 rad
∠ B' = β' = 156.0732938511° = 156°4'23″ = 0.41876060033 rad
∠ C' = γ' = 34.93299246904° = 34°55'48″ = 2.53219504603 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.