# 2.5 4.167 4.167 triangle

### Acute isosceles triangle.

Sides: a = 2.5   b = 4.1676666666   c = 4.1676666666

Area: T = 4.96884333398
Perimeter: p = 10.8333333332
Semiperimeter: s = 5.4176666666

Angle ∠ A = α = 34.91552062532° = 34°54'55″ = 0.60993853081 rad
Angle ∠ B = β = 72.54223968734° = 72°32'33″ = 1.26661036727 rad
Angle ∠ C = γ = 72.54223968734° = 72°32'33″ = 1.26661036727 rad

Height: ha = 3.97547466719
Height: hb = 2.38548480035
Height: hc = 2.38548480035

Median: ma = 3.97547466719
Median: mb = 2.73222660515
Median: mc = 2.73222660515

Inradius: r = 0.91772492321
Circumradius: R = 2.18439267429

Vertex coordinates: A[4.1676666666; 0] B[0; 0] C[0.75500000001; 2.38548480035]
Centroid: CG[1.63988888887; 0.79549493345]
Coordinates of the circumscribed circle: U[2.0833333333; 0.6555178023]
Coordinates of the inscribed circle: I[1.25; 0.91772492321]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.0854793747° = 145°5'5″ = 0.60993853081 rad
∠ B' = β' = 107.4587603127° = 107°27'27″ = 1.26661036727 rad
∠ C' = γ' = 107.4587603127° = 107°27'27″ = 1.26661036727 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.