# 170 162 12.6 triangle

### Obtuse scalene triangle.

Sides: a = 170   b = 162   c = 12.6

Area: T = 807.379933086
Perimeter: p = 344.6
Semiperimeter: s = 172.3

Angle ∠ A = α = 127.713316306° = 127°42'47″ = 2.22990151935 rad
Angle ∠ B = β = 48.92554734874° = 48°55'32″ = 0.85439106005 rad
Angle ∠ C = γ = 3.36113634522° = 3°21'41″ = 0.05986668596 rad

Height: ha = 9.49985803631
Height: hb = 9.968764606
Height: hc = 128.1555449343

Median: ma = 77.30770501313
Median: mb = 89.26657829182
Median: mc = 165.9298629236

Inradius: r = 4.68658928082
Circumradius: R = 107.4487635435

Vertex coordinates: A[12.6; 0] B[0; 0] C[111.6976825397; 128.1555449343]
Centroid: CG[41.43222751323; 42.71884831143]
Coordinates of the circumscribed circle: U[6.3; 107.2632781805]
Coordinates of the inscribed circle: I[10.3; 4.68658928082]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 52.28768369396° = 52°17'13″ = 2.22990151935 rad
∠ B' = β' = 131.0754526513° = 131°4'28″ = 0.85439106005 rad
∠ C' = γ' = 176.6398636548° = 176°38'19″ = 0.05986668596 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    