# 12 17 24 triangle

### Obtuse scalene triangle.

Sides: a = 12   b = 17   c = 24

Area: T = 95.5329772846
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 27.92329129398° = 27°55'22″ = 0.48773467675 rad
Angle ∠ B = β = 41.56597864393° = 41°33'35″ = 0.72553551098 rad
Angle ∠ C = γ = 110.5177300621° = 110°31'2″ = 1.92988907763 rad

Height: ha = 15.92216288077
Height: hb = 11.23987968054
Height: hc = 7.96108144038

Median: ma = 19.91223077517
Median: mb = 16.96331954537
Median: mc = 8.5154693183

Inradius: r = 3.60548970885
Circumradius: R = 12.81327594522

Vertex coordinates: A[24; 0] B[0; 0] C[8.97991666667; 7.96108144038]
Centroid: CG[10.99330555556; 2.65436048013]
Coordinates of the circumscribed circle: U[12; -4.49107465727]
Coordinates of the inscribed circle: I[9.5; 3.60548970885]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.077708706° = 152°4'38″ = 0.48773467675 rad
∠ B' = β' = 138.4440213561° = 138°26'25″ = 0.72553551098 rad
∠ C' = γ' = 69.48326993791° = 69°28'58″ = 1.92988907763 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.