# 16 25 27 triangle

### Acute scalene triangle.

Sides: a = 16   b = 25   c = 27

Area: T = 196.3576818063
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 35.57771025511° = 35°34'38″ = 0.62109375778 rad
Angle ∠ B = β = 65.37656816478° = 65°22'32″ = 1.14110208955 rad
Angle ∠ C = γ = 79.04772158011° = 79°2'50″ = 1.38796341803 rad

Height: ha = 24.54546022579
Height: hb = 15.70985454451
Height: hc = 14.54549494862

Median: ma = 24.75988368063
Median: mb = 18.33771208209
Median: mc = 16.077015868

Inradius: r = 5.77552005313
Circumradius: R = 13.75504774554

Vertex coordinates: A[27; 0] B[0; 0] C[6.66766666667; 14.54549494862]
Centroid: CG[11.22222222222; 4.84883164954]
Coordinates of the circumscribed circle: U[13.5; 2.61325907165]
Coordinates of the inscribed circle: I[9; 5.77552005313]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.4232897449° = 144°25'22″ = 0.62109375778 rad
∠ B' = β' = 114.6244318352° = 114°37'28″ = 1.14110208955 rad
∠ C' = γ' = 100.9532784199° = 100°57'10″ = 1.38796341803 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.