# 38 31 35 triangle

### Acute scalene triangle.

Sides: a = 38   b = 31   c = 35

Area: T = 509.8799960769
Perimeter: p = 104
Semiperimeter: s = 52

Angle ∠ A = α = 70.00551618474° = 70°19″ = 1.22218205676 rad
Angle ∠ B = β = 50.05110165987° = 50°3'4″ = 0.87435550336 rad
Angle ∠ C = γ = 59.94438215539° = 59°56'38″ = 1.04662170523 rad

Height: ha = 26.83215768826
Height: hb = 32.89903200496
Height: hc = 29.13114263297

Median: ma = 27.05554985169
Median: mb = 33.0799449814
Median: mc = 29.93774347598

Inradius: r = 9.80438453994
Circumradius: R = 20.21987147768

Vertex coordinates: A[35; 0] B[0; 0] C[24.4; 29.13114263297]
Centroid: CG[19.8; 9.71104754432]
Coordinates of the circumscribed circle: U[17.5; 10.12765209833]
Coordinates of the inscribed circle: I[21; 9.80438453994]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 109.9954838153° = 109°59'41″ = 1.22218205676 rad
∠ B' = β' = 129.9498983401° = 129°56'56″ = 0.87435550336 rad
∠ C' = γ' = 120.0566178446° = 120°3'22″ = 1.04662170523 rad

# How did we calculate this triangle?

### 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    