# 18 25 27 triangle

### Acute scalene triangle.

Sides: a = 18   b = 25   c = 27

Area: T = 218.1744242293
Perimeter: p = 70
Semiperimeter: s = 35

Angle ∠ A = α = 40.274389294° = 40°16'26″ = 0.70329120344 rad
Angle ∠ B = β = 63.87551115689° = 63°52'30″ = 1.1154831007 rad
Angle ∠ C = γ = 75.85109954911° = 75°51'4″ = 1.32438496122 rad

Height: ha = 24.2421582477
Height: hb = 17.45439393834
Height: hc = 16.16110549846

Median: ma = 24.41331112315
Median: mb = 19.24218814049
Median: mc = 17.09553209973

Inradius: r = 6.23435497798
Circumradius: R = 13.92223584236

Vertex coordinates: A[27; 0] B[0; 0] C[7.92659259259; 16.16110549846]
Centroid: CG[11.64219753086; 5.38770183282]
Coordinates of the circumscribed circle: U[13.5; 3.40332431702]
Coordinates of the inscribed circle: I[10; 6.23435497798]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.726610706° = 139°43'34″ = 0.70329120344 rad
∠ B' = β' = 116.1254888431° = 116°7'30″ = 1.1154831007 rad
∠ C' = γ' = 104.1499004509° = 104°8'56″ = 1.32438496122 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.