# 9.2 15.1 17.4 triangle

### Acute scalene triangle.

Sides: a = 9.2   b = 15.1   c = 17.4

Area: T = 69.41659804638
Perimeter: p = 41.7
Semiperimeter: s = 20.85

Angle ∠ A = α = 31.89774501112° = 31°53'51″ = 0.55767155274 rad
Angle ∠ B = β = 60.1422482921° = 60°8'33″ = 1.05496843473 rad
Angle ∠ C = γ = 87.96600669679° = 87°57'36″ = 1.53551927789 rad

Height: ha = 15.09904305356
Height: hb = 9.19441695979
Height: hc = 7.97988483292

Median: ma = 15.62876997668
Median: mb = 11.69217706101
Median: mc = 8.98796993268

Inradius: r = 3.32993036194
Circumradius: R = 8.70655170288

Vertex coordinates: A[17.4; 0] B[0; 0] C[4.58801724138; 7.97988483292]
Centroid: CG[7.32767241379; 2.66596161097]
Coordinates of the circumscribed circle: U[8.7; 0.31098818148]
Coordinates of the inscribed circle: I[5.75; 3.32993036194]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.1032549889° = 148°6'9″ = 0.55767155274 rad
∠ B' = β' = 119.8587517079° = 119°51'27″ = 1.05496843473 rad
∠ C' = γ' = 92.04399330321° = 92°2'24″ = 1.53551927789 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.