# 8 10 16 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 10   c = 16

Area: T = 32.72661363439
Perimeter: p = 34
Semiperimeter: s = 17

Angle ∠ A = α = 24.14768479965° = 24°8'49″ = 0.42114420015 rad
Angle ∠ B = β = 30.75435198081° = 30°45'13″ = 0.53767501772 rad
Angle ∠ C = γ = 125.1099632195° = 125°5'59″ = 2.18334004748 rad

Height: ha = 8.1821534086
Height: hb = 6.54552272688
Height: hc = 4.0910767043

Median: ma = 12.72879220614
Median: mb = 11.61989500386
Median: mc = 4.24326406871

Inradius: r = 1.92550668438
Circumradius: R = 9.77881173016

Vertex coordinates: A[16; 0] B[0; 0] C[6.875; 4.0910767043]
Centroid: CG[7.625; 1.36435890143]
Coordinates of the circumscribed circle: U[8; -5.62224174484]
Coordinates of the inscribed circle: I[7; 1.92550668438]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.8533152003° = 155°51'11″ = 0.42114420015 rad
∠ B' = β' = 149.2466480192° = 149°14'47″ = 0.53767501772 rad
∠ C' = γ' = 54.99003678046° = 54°54'1″ = 2.18334004748 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    