# 193 392 410 triangle

### Acute scalene triangle.

Sides: a = 193   b = 392   c = 410

Area: T = 37395.59549737
Perimeter: p = 995
Semiperimeter: s = 497.5

Angle ∠ A = α = 27.7332931358° = 27°43'59″ = 0.48440309634 rad
Angle ∠ B = β = 70.93985016186° = 70°56'19″ = 1.23881104197 rad
Angle ∠ C = γ = 81.32985670235° = 81°19'43″ = 1.41994512705 rad

Height: ha = 387.5199118898
Height: hb = 190.7943851907
Height: hc = 182.4187536457

Median: ma = 389.3219598787
Median: mb = 253.4932603442
Median: mc = 231.1532547033

Inradius: r = 75.16770250728
Circumradius: R = 207.3770413693

Vertex coordinates: A[410; 0] B[0; 0] C[63.03304878049; 182.4187536457]
Centroid: CG[157.6776829268; 60.80658454857]
Coordinates of the circumscribed circle: U[205; 31.26548120941]
Coordinates of the inscribed circle: I[105.5; 75.16770250728]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.2677068642° = 152°16'1″ = 0.48440309634 rad
∠ B' = β' = 109.0611498381° = 109°3'41″ = 1.23881104197 rad
∠ C' = γ' = 98.67114329765° = 98°40'17″ = 1.41994512705 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.