# 14 17 24 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 17   c = 24

Area: T = 116.8055126172
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 34.93299246904° = 34°55'48″ = 0.61096421933 rad
Angle ∠ B = β = 44.04986256741° = 44°2'55″ = 0.7698793549 rad
Angle ∠ C = γ = 101.0211449636° = 101°1'17″ = 1.76331569113 rad

Height: ha = 16.6866446596
Height: hb = 13.74217795496
Height: hc = 9.73437605143

Median: ma = 19.58331560276
Median: mb = 17.71329895839
Median: mc = 9.92547166206

Inradius: r = 4.24774591335
Circumradius: R = 12.22554908393

Vertex coordinates: A[24; 0] B[0; 0] C[10.06325; 9.73437605143]
Centroid: CG[11.35441666667; 3.24545868381]
Coordinates of the circumscribed circle: U[12; -2.33772261899]
Coordinates of the inscribed circle: I[10.5; 4.24774591335]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.077007531° = 145°4'12″ = 0.61096421933 rad
∠ B' = β' = 135.9511374326° = 135°57'5″ = 0.7698793549 rad
∠ C' = γ' = 78.97985503645° = 78°58'43″ = 1.76331569113 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.