# 8 14 16 triangle

### Acute scalene triangle.

Sides: a = 8   b = 14   c = 16

Area: T = 55.99110707167
Perimeter: p = 38
Semiperimeter: s = 19

Angle ∠ A = α = 29.99547255274° = 29°59'41″ = 0.52435067187 rad
Angle ∠ B = β = 61.02884677763° = 61°1'42″ = 1.06551477001 rad
Angle ∠ C = γ = 88.97768066963° = 88°58'37″ = 1.55329382348 rad

Height: ha = 13.99877676792
Height: hb = 7.99987243881
Height: hc = 6.99988838396

Median: ma = 14.49113767462
Median: mb = 10.53656537529
Median: mc = 8.12440384046

Inradius: r = 2.94768984588
Circumradius: R = 8.00112758153

Vertex coordinates: A[16; 0] B[0; 0] C[3.875; 6.99988838396]
Centroid: CG[6.625; 2.33329612799]
Coordinates of the circumscribed circle: U[8; 0.14328799253]
Coordinates of the inscribed circle: I[5; 2.94768984588]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.0055274473° = 150°19″ = 0.52435067187 rad
∠ B' = β' = 118.9721532224° = 118°58'18″ = 1.06551477001 rad
∠ C' = γ' = 91.02331933037° = 91°1'23″ = 1.55329382348 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.