# 10 17 24 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 17   c = 24

Area: T = 70.98989956261
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 20.36441348063° = 20°21'51″ = 0.35554212017 rad
Angle ∠ B = β = 36.26988522245° = 36°16'8″ = 0.63330108872 rad
Angle ∠ C = γ = 123.3677012969° = 123°22'1″ = 2.15331605647 rad

Height: ha = 14.19877991252
Height: hb = 8.35216465442
Height: hc = 5.91657496355

Median: ma = 20.18766292382
Median: mb = 16.30218403869
Median: mc = 7.10663352018

Inradius: r = 2.78438821814
Circumradius: R = 14.36884241621

Vertex coordinates: A[24; 0] B[0; 0] C[8.06325; 5.91657496355]
Centroid: CG[10.68875; 1.97219165452]
Coordinates of the circumscribed circle: U[12; -7.90326332892]
Coordinates of the inscribed circle: I[8.5; 2.78438821814]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.6365865194° = 159°38'9″ = 0.35554212017 rad
∠ B' = β' = 143.7311147776° = 143°43'52″ = 0.63330108872 rad
∠ C' = γ' = 56.63329870308° = 56°37'59″ = 2.15331605647 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.